Humor An Essentially Social Phenomenon - 1042 Words

Humor is an essentially social phenomenon. Humorous jokes and funny performances and scenes in films are a form of communication that is typically common in social interaction. These humorous jokes and expressions are socially and ethnically made. They often relate to a particular to a specific time and place. The subjects and issues that an individual may joke about may typically be essential to the social and moral order of society. (Kuipers, 2007) Humor is the idea that a phenomenon can be conceptualized as originating from juxtaposing two or more conceptualizations that do not normatively speak or go together. Despite the social characterization in humor, sociology, this is the idea that studies society and human behavior, has not concerned itself much with humor. Humor is considered as a form of social deviance that can lead to positive sanctions as well as negative sanctions. Humor allows individuals to discuss controversial or taboo subjects. Humor works as a mechanism to addr ess subject areas that a society regards as upsetting. These areas have been constructed as a psychologically or socially out of norm. It also allows oppressed social groups to undermine the ideologies of their oppressor. Humor can be born out of experiences expressing grief and sorrow. It allows individuals to express contempt towards other individuals, social groups, and societies and allows us to celebrate triumph over enemies. Controversial humor is humor that can be used to expose andShow MoreRelated Flannery Oconnor1301 Words   |  6 Pagescathedral and growing up in the Bible Belt (Liukkonen). Flannery attended parochial schools until entering the Georgia State College for Women, where she entered into an accelerated three-year program as a day student (Gordon). She graduated with a Social Sciences degree in 1945 and left Milledgeville for the State University of Iowa where she had been accepted in Paul Engle’s prestigious Writers Workshop. (â€Å"Flannery O’ Connor†). Flannery devoted herself to what she loved most, writing, though she spentRead MoreClemenger BBDO Advertising in our modern world is ineffective and no longer relevant. Do you agree2200 Words   |  9 Pagesineffective and no longer relevant. Do you agree or disagree with this statement and why? Today’s consumer is constantly inundated with advertisements. Their acclimatisation to this saturation of messages has resulted in defence mechanisms which have essentially allowed the modern consumer to block out undesirable attempts to capture their attention. This new era of consumer cautiousness does not mean the end of advertising, rather the dawning of a new era in advertising in which marketers must utiliseRead MoreCritical Analysis Essay The Thomas Theorem 1349 Words   |  6 Pageslife policy and personality of the individual himself. As a result the theory articulates that intimacy, education and family which are basically known societal problems are the key fundamentals to the roles of situations especially when detecting a social world. The societal problems are the subjective impressions that can be projected on to a human life to become real projectors. In the field sociology the statement by Thomas expresses how individuals have different views on situations w rong interpretationRead MoreAnalysis Of Daniel Keyess Poem Flowers For Algernon 1508 Words   |  7 Pagesgenerations and their interests, the significance of the written word starts to fade. The benefits are doubted and placed under a critical eye where a biased, in the form of technological dependence, influences the mind. However, this unfortunate phenomenon may have detrimental effects on future individuals for a specific cause. Apart from religious guidance, authors’ philosophies on human interactions and mental features promote readers to surpass individual capacities and mature intellectually andRead MoreEssay on Difference in Animation in Japan and the United States2798 Words   |  12 PagesAnime is considered a pop culture phenomenon. Many critics and scholars argue as to whether this form of entertainment is actually â€Å"art† or simply a sociological phenomenon. Critics of animation argue whether anime, while extremely popular in Japanese culture today and increasingly so in the West, should be held up alongside famous Japanese traditions such as haiku and woodblock prints. Many see anime as nothing more than a phase of entertainment that will lose its social backing and eventually fade fromRead MoreStress And Health : Stress1627 Words   |  7 Pageshypothalamus is also the catalyst that causes the endocrine system to release epinephrine and norepinephrine in response to the stress. 2(113). The release of the hormones causes the traditional flight or flight response that is now a well known phenomenon. This author would like to add that this response could also be called Flight, Fight, Posture, or Submission. The latter two behaviors are added to address the fact that in most every day stressors we do more than simply fight or retreat. TheRead MoreIntercultural Communication of American Tv Series in China6643 Words   |  27 Pagesthe frequent communications between different cultures. 3.2.4 Different cultures cause the curiosity 3.2.5 The characters of American TV series 3.2.6Outstanding talent of playwrights and smart broadcasting schedule 3.2.7 Humor is a pervasion phenomenon and it has a long history dating back to Plato and Aristotle. Ã¥ ¹ ½Ã© »ËœÃ¨ ¢ «Ã¦Å½ ¥Ã¥ â€"ï ¼Å'ä ¸â‚¬Ã¤ ¸ ªÃ© ²Å"明的ä ¾â€¹Ã¥ ­ Ã¥ ° ±Ã¦Ëœ ¯Ã¤ ¸ ­Ã¥â€º ½Ã§Å¡â€žÃ§Ë† ±Ã¦Æ'…åâ€"Å"å‰ §Ã¥Å" ¨Ã¦ ¨ ¡Ã¤ » ¿Ã¯ ¼Å'æÅ"‰å ¹ ½Ã© »ËœÃ§Å¡â€žÃ¥â€¦Æ'ç ´  Ã¯ ¼Å'所ä » ¥Ã§â€Å¸Ã¦ ´ »Ã¥ ¤ §Ã§Ë†â€ Ã§â€š ¸Ã¨ ¢ «Ã¦Å½ ¥Ã¥ â€"ï ¼Å'Ã¥ ¹ ¶Ã¤ ¸â€Ã¦Å"‰å ¹ ½Ã© »ËœÃ¥â€¦Æ'ç ´  Ã¯ ¼Å'æ ¯â€Ã¥ ¦â€šÃ§Ë† ±Ã¦Æ'…å… ¬Ã¥ ¯â€œ Culture adaptionä ¸ ºÃ¤ »â‚¬Ã¤ ¹Ë†Ã¯ ¼Å'ï ¼Å'原å›  Ã¦Ëœ ¯Ã¦â€"‡åÅ'â€"适å ºâ€Ã¯ ¼Å'æˆâ€"æ˜ ¯Ã¦â€"‡åÅ'â€"è ® ¤Ã¥ Å'ï ¼Å'æˆâ€"æ˜ ¯Ã¤ ¸Å½Ã¤ ¸ ­Ã¥â€º ½Ã¦Å"‰ä »â‚¬Ã¤ ¹Ë†Ã¥â€¦ ³Ã§ ³ »Ã¯ ¼Å'Ã¥  ¸Ã¥ ¼â€¢Ã¥Å â€º 生æ ´ »Ã¥ ¤ §Ã§Ë†â€ Ã§â€š ¸Ã¤ ¸Å½Ã¤ ¸ ­Ã¥â€º ½Ã¦â€"‡åÅ'â€"èž Ã¥ Ë†Ã§â€š ¹Ã¥Å" ¨Ã¥â€œ ª ä ¼Å¡Ã¨ ¯ Ã© £Å½Ã¦   ¼Ã¨ ¢ «Ã¦Å½ ¥Ã¥ â€"ï ¼Å'ï ¼Å'ä ¼Å¡Ã¨ ¯ Ã¤ ½â€œÃ§Å½ °Ã¥Ë† °Ã¨ ¯ ­Ã¨ ¨â‚¬Ã¦â€" ¹Ã©  ¢ ä » ·Ã¥â‚¬ ¼Ã¨ §â€šÃ§Å¡â€žÃ¥ ½ ±Ã¥â€œ  æÅ"‹å â€¹Ã¦Å"‰æÆ'… çˆ ¶Ã¦ ¯ Ã¤ ¹â€¹Ã©â€" ´Ã§Å¡â€žÃ¦â€žÅ¸Ã¦Æ'…Read MoreA Little Princess by Frances Hodgson Burnett4073 Words   |  17 Pagescare of Miss Minchin, Select Seminary for Young Ladies, her supportive and emotional environment1 in London drastically changes, especially upon being told of her father’s death and loss fortune. Sara encounters a very distressful situation as her social status changes into servant girl in lieu of being thrown out to the streets. Typically, childhood stress or can be caused by any situation that requires a person to adapt or change such as death, moving, and or abuse.2 Sara exercises her own setRead MoreSocial Psychology Group Processes1884 Words   |  8 Pageseach person influences and is influenced by each other person (Shaw, 1981). Turner (1987) goes further to say that â€Å"a psychological group is one that is psychologically significant for the members, to which they r elate themselves subjectively for social comparison and the acquisitions of norms and values†¦that they privately accept membership in and which influence their attitudes and behaviour†. Clark Pataki reserve the term â€Å"group† for aggregates containing three or more members because dyadsRead MoreWhy I Am A Doctor Essay2143 Words   |  9 PagesHebrews, believed that mental illness was a punishment sent by God for committing sin. However, most societies adopted the philosophy of Hippocrates that attributed mental illness to be an imbalance of the four essential fluids of the human body, or humors. Families in ancient times felt ashamed of the mentally ill, so they would hide them from the public eye or abandon them on the street; the Chinese frequently practiced this because it was believed that these diseases were hereditary and would bring

The United States History I - Federalists Vs. Republicans...

Valeriia Baumgard United States History I – HIST V07A Dialog 3 – Topic A: Federalists vs. Republicans Even when discussing the draft of Constitution and after its ratification by the states there were two currents in the American republic, later became the first political parties. The Federalists, led by Alexander Hamilton wanted to create a strong central government with the supremacy of national interests. Their opponents, later called democratic republicans sought restrictions on the powers of the national government, strengthening state and local authorities, as they feared that the concentration of power will lead to the replacement of the aristocracy to democracy. The leader was the anti-Federalist Thomas Jefferson. The dispute between Federalists and Republicans, in fact, was a dispute about the future development of the United States, finding a model for the new republic. Federalists argued for rights and freedoms, but not for everyone, defending the British model of the state, while the supporters of Jefferson were advocated for a democratic development of America. Tomas Jefferson wanted to create a republic of free planters-farmers. As for Hamilton - he saw the future of the United States in trade and industry of the country, with large cities, developed production, banks, a strong financial system. A separate issue was with the creation of the Bank of the United States. Hamilton saw this as an opportunity to create the country s government credit, pay off finallyShow MoreRelatedLarge Vs. Small Republic1001 Words   |  5 PagesEssay #1, Question 2 Large vs. Small Republic America is an incredibly vast, diverse country, and has been this way for hundreds of years. The sheer size of America, even when it was only composed of thirteen states with a total population of nearly three million people (Brutus, essay 1, p. 64), concerned many Americans in the 1780s, due to this inquiry: was America simply too large for a republican style government to work? Many anti-federalists claimed that republics could only work on a smallRead MoreAlexander Hamilton Vs. Thomas Jefferson1289 Words   |  6 Pages Alexander Hamilton vs. Thomas Jefferson During the ratification of the Constitution of 1787, the Federalist and Anti-federalist views created tensions and barriers between the two. Federalists, who supported the making of a new document, the Constitution, differed from Anti-federalists who believed that â€Å"the new system threatened liberties and failed to protect individual rights.† Anti-federalist, such as Patrick Henry, James Winthrop and Samuel Adams, believed in state s rights and only urgedRead MoreThe Party System, Republican Vs. Federalist1712 Words   |  7 Pages_QC There are several reasons why the two party system, Republican vs. Federalist, worked so well in the 1790’s. First, when the political parties emerged in the 1790’s it was evident that their ideologies were vastly different. The Republican Party wanted a representative form of government that functioned â€Å"in the interest of the people.† This party, led by Thomas Jefferson, supported a limited central government, with individual states retaining a majority of the control. Jefferson’s visionRead MoreAnalysis Of The Tumultuous Election Of 1800 Essay2199 Words   |  9 PagesJack Norman Mr. Nicholls—Period 7 November 4, 2016 Adams vs. Jefferson The Tumultuous Election of 1800 Analytical Book Review Adams vs Jefferson, The Tumultuous Election of 1800, describes the events of the infamous United States Presidential Election of 1800, the election that forever changed the landscape of American politics and reestablished the principles of the American Revolution. The election of 1800 was a battle of two political powerhouses: John Adams and Thomas Jefferson. They were twoRead MoreThe Main Differences Between The Federalist Vs. Antifederalist Debates, Abolitionist, And Dred Scott Decision1251 Words   |  6 Pagesand the South about state s rights and slavery. Both of these causes sparked the Federalist vs. Antifederalist debates, Abolitionist Movement, and Dred Scott decision that ultimately fueled the divide that started the civil war. The issue of states rights was the main difference between the Federalist and Anti-Federalist views, and its divergence led to the fundamentally opposing views of the north and south. The population of the northern states consisted mainly of Federalists who believed thatRead MoreThe Federalists Vs. The Anti Federalists1801 Words   |  8 PagesTheory vs. Reality The concept of theory versus reality is a constant in everyday life. Every person has experienced a situation in which the idea in their head was much better than the outcome. All actions have consequences, and sometimes those consequences are worse than others. In the case of the Federalists vs. The Anti-Federalists, was the drafting of the Constitution actually worth it in the end? When the colonists first came over seas from Great Britain there was one thing that was vastlyRead MoreThe Consequences of the Burr and Hamiton Duel Essay example806 Words   |  4 Pagespart in american history. It was a moment in history were two foes battled out their anger in each other. Though many historians wonder if Hamilton able to avoid this duel. Many people would agree that this is one thing that would not turn into a big deal if it was avoided. Today many history classes are debating â€Å"was the consequences of the the Burr vs. Hamilton duel inevitable?† Alexander was the leader of the federalists and secretary of state. Burr was a democratic republican and vice presidentRead MoreNew Issue Of New Federalism1682 Words   |  7 Pagescommitment to returning powers to the state governments. Proposed by President Ronald Reagan, who believed federal grants were just a scandal of imposing the federal interests on the states. Reagan believed that federal government would allow a more efficient government within the states and the nation. This reminded America of the main point now of the 10th amendment that because the states are created under the the federal government, it should work for the states, and not be overpowered. New FederalismRead MoreWashington s Farewell Address Analysis1375 Words   |  6 Pagesin 1783 when peace came, he resided over the Philadelphia convention, and was then unanimously elected as the first president of the United States. What is Washington’s â€Å"Farewell Address†? Washington’s â€Å"Farewell Address† was written in September of 1796. This was George Washington’s Address of retirement to privacy from two terms acting president of the United States. â€Å"In his last major address, President Washington offered an emphatic warning against tinkering with the Constitution in a way thatRead MoreDBQ #1 : Political, Social and Economic effects of the American Revolution2546 Words   |  11 Pagesseventeen eighty-three with the signing of the treaty of Paris. The former colonies where now their own individual entity, they were now Americans; living in the newly renamed United States. Post- American Revolution things in the states changed, drastically in some areas and not so drastically in other areas. Politically the states became polar opposites than that of the political system they had previously been following; these new thoughts were radical compared to previous o nes, this is shown in the

Amelia Earhart Essay Example For Students

Amelia Earhart Essay Courage is the price that life exacts for granting peace. The soul that knows it not, knows no release from little things. Knows not the vivid loneliness of fear nor mountain heights where bitter joy can hear the sound of wings. How can life grant us boon of living, compensate for dull gray ugliness and pregnant hate, unless we dare the souls dominion? Each time we make a choice, we pay with courage to behold the restless day and count it fair. Those were the words of Amelia Earhart in a poem she wrote, entitled Courage. Amelia Earhart knew a lot about courage. Even when faced with impossible odds, she always had the courage to try and overcome them. She had a never give up attitude that made her so attractive to the public and took the science community by surprise. Without that attitude, she would never have been invited to make her first flight across the Atlantic ocean on June 3rd 1928. Because she had the courage to be one of the only women pilots at the time, she was invited by her future husband, George Putnam, to make the 20 hour 14 minute journey across the Atlantic. Although she was just a passenger on the flight, she was still promoted to celebrity status for being the first woman to cross the Atlantic by plane. Although her fame was set with her first flight, she wanted to promote aviation in women. In 1929, she organized a cross-country air race for women pilots named the Power Puff Derby. She also formed the Ninety Nines a now famous women pilots organization. In addition to forming organizations for women pilots, she occupied her four year break from flying with writing her first book, 20 hours, 40 minutes on her first flight, became assistant to the general traffic manager of TWA and served as vice president for public relations of the New York, Washington, and Philadelphia Airways. Amelia enjoyed public relations, but missed flying greatly during her four year sabatical. In 1932, no one else had ever flown solo over the Atlantic since Charles Lindberg, and Amelia set out to change that. On May 20th, 1932, exactly five years after Lindbergs flight, she set off for her 2nd journey across the Atlantic. She sucessfully completed her flight, breaking several records. She was the first woman to fly the Atlantic and the only person to fly it twice. She flew the longest nonstop distance by a woman, and set a record for crossing in the shortest time. After this amazing record setting flight, her name became known in every household across the country as she won the Outstand Woman of the Year award. She accepted the award on behalf of all women, demonstrating to the world that women can accomplish almost anything. For the next two years, she toured Europe and America giving speeches to various groups and promoting aviation. In autumn of 1934, her ambitious nature and love for flying caught up with her again, and she announced to her husband, George Putnam that her next venture would be a trans-Pacific flight flight from Hawaii to California. This was her most courageous flight yet, as ten pilots had already lost their lives trying to fly the same course she was about to set forth upon. On January 4th, 1935, Amelia took off from Hawaii and later that day landed in Oakland California to a cheering crowd of thousands. For the next few months, she went back to promoting aviation through lecture tours almost nonstop. In later 1935, Amelia began to make plans for what was to be her longest flight yet: around the world. On March 17th of the same year, she took off from Oakland to Hawaii. The Importance of Education to My Life EssayLater in 1935, Amelia began to make plans for an around the world flight. Thisflight would be two major firsts. She would be the first woman to fly around the worldand she would travel the longest possible distance, 29,000 miles, following a route aroundthe equator. Frederick Noonan, a former Pan Am Airlines navigator was chosen as theflight’s navigator because he was familiar with the Pacific area. The plane chosen for theflight was the Lockheed Electra 10E. The first leg of their journey would be fromOakland, California to Hawaii on March 17, 1935. In Hawaii, Amelia had an accidentduring take-off from Luke Field near Pearl Harbor. A great deal of damage was done tothe plane. On June 1, 1937, Amelia and Frederick Noonan left Miami, Florida to once againbegin their around the world flight. After many stops in South America, Africa, the India,and Southeast Asia, they arrived at Lae, New Guinea on June 29. About 22,000 miles ofthe journey had been completed and there were 7,000 miles more to go, all of them overthe Pacific Ocean. Photos taken at Lae show Amelia looking very tired and ill. On July 2, 1937 at 00:00 Greenwich Mean Time (GMT), Amelia and Fredericktook off from Lae with 1,000 gallons of fuel, allowing for 20-21 hours of flying time. Their intended destination was Howland Island, a tiny piece of land a few miles long,twenty feet high, and 2,556 miles away. The Coast Guard cutter Itasca was stationed nearHowland Island and was assigned to communicate with Amelia’s plane and guide her tothe island. Several short radio transmissions were received by the Itasca, but they wereunable to get a fix on her location because the radio contact had been too brief. At 19:30GMT, almost twenty hours into the flight, the following transmission was received fromthe Electra; â€Å"KHAQQ calling Itasca. We must be on you, but cannot see yougasrunning low† . After six hours of trying to communicate with the Electra, all contactwas lost. A search by the Navy and Coast Guard was organized and no physical evidence ofthe Electra or of Amelia Earhart or Frederick Noonan was ever found. Over the years,many unconfirmed sightings have been reported and there are many theories of their fate. Some of those theories are that Amelia was a on a spy mission authorized by PresidentRoosevelt and was captured; that she purposely dove her aircraft into the Pacific; theywere captured by the Japanese, Noonan was executed and Earhart was forced tobroadcast to the American GI’s as â€Å"Tokyo Rose† during World War II; and anothertheory is that Amelia lived for years on an island in the South Pacific with a nativefisherman. In 1961 it was thought that the bones of Earhart and Noonan had been foundon the island of Saipan, but they turned out to be those of Saipan natives. In 1992, asearch party reported finding remnants of the Electra at Nikumaroro, Kiribati, but thoseclaims were disputed by people who worked on Earhart†™s plane. Researches believe thatthe plane ran out of fuel and that Earhart and Noonan died at sea. Amelia Earhart spent most of her lifetime establishing the permanent role ofwomen in aviation. She became an international heroine overnight as the first woman tofly across the Atlantic Ocean. Amelia’s disappearance is still a mystery, but her enduringlegacy remains. Book Reports

marketing ch.5 Essay Example

marketing ch.5 Paper false When analyzing the immediate environment and the macroenvironment, marketers must be careful to keep the firm at the center of all analyses. ⠐ £ ⠐ £ false In the immediate environment, the competition has no effect on consumers. ⠐ £ false Demographics are transmitted by words, literature, and institutions from generation to generation. ⠐ £ false As the euro becomes more expensive relative to the dollar, Americans are likely to purchase more European wines. ⠐ £ ⠐ £ false Macroenvironmental factors include the company, competition, and corporate partners. ⠐ £ false The global spread of technology has eliminated all differences between cultures. ⠐ £ ⠐ £ false Tweens rarely use any type of technology. false he members of Generation X are also referred to as Digital Natives. ⠐ £ ⠐ £ false One of the social trends discussed in the text that is shaping consumer values in the U.S. and around the world is a concern about the vast disparity in income. ⠐ £ ⠐ £ false Burger King no longer uses SpongeBob SquarePants to promote burgers and fries because the character is no longer popular with young children. ⠐ £ false Socially responsible marketing is defined as a strategic effort by firms to supply customers with environmentally friendly merchandise. ⠐ £ ⠐ £ false Inflation refers to the cost of borrowing money. ⠐ £ identify potential opportunities By paying close attention to customer needs and continuously monitoring the environment in which it operates, a good marketer can ⠐ £ ⠐ £ identify potential opportunties As a retail clothing store manager, Randy frequently asks his staff what customers are saying and what they are asking for. He also attends the quarterly clothing show at the regional merchandise mart. Randys efforts will likely help him to ⠐ £ ⠐ £ all of these The factors in the immediate marketing environment include the actions of the ⠐ £ ⠐ £ consumers The centerpiece of the Marketing Environment Analysis Framework is ⠐ £ competition A firms macroenvironment includes all of the following EXCEPT ⠐ £ ⠐ £ the consumer the center of all marketing efforts is ⠐ £ ⠐ £ her target customers As director of a small art gallery, one of Fredericas major concerns is the preferences of the people who buy her artists work. Frederica recognizes that the center of her marketing efforts is ⠐ £ ⠐ £ to offer greater value than competitors offer. One of the goals of value-based marketing is ⠐ £ ⠐ £ from a customers point of view. Ryan knows that one of the goals of value-based marketing is to provide greater value to consumers than competitors offer. To accomplish this goal, Ryans firm must look at everything it does ⠐ £ ⠐ £ needs, wants, and ability to purchase Yvonne knows her firm must look at everything they do from a consumers point of view. One major difficulty is that a consumers __________ change(s) over time. ⠐ £ ⠐ £ This generation puts a strong emphasis on work/life balance and are experts at using various media forms. Select the statement that best describes the key traits of Generation Y. ⠐ £ Time-poor society When an office supply store offers self-check-out, extended hours at its stores, and online shopping with next day delivery, it is trying to address what type of concern? ⠐ £ privacy. When you register your telephone number with the Do Not Call Registry, you are responding to a need for⠐ £ ⠐ £ the firm itself In the immediate marketing environment, one key factor that affects the consumer is ⠐ £ match their core competencies. Successful firms focus their efforts on satisfying customer needs that ⠐ £ match its core compenetencies The Mayo Clinic in Minnesota is known for top-quality medical care. For decades, even presidents and dictators from around the world flew to the Mayo Clinic to utilize its services. The Mayo Clinic used its reputation to create additional medical facilities in Jacksonville, Florida, and elsewhere. This is an example of a firm focusing its efforts on satisfying customer needs that ⠐ £ all of these When evaluating competitors, marketers need to assess competitors ⠐ £ likely reaction to Yuris promotional activities. Yuri is considering a new promotional campaign in which he will compare his products to those of his competitors. Before initiating the promotional campaign, Yuri will likely assess his competitors strengths, weaknesses, and ⠐ £ ⠐ £ corporate partners The firms that work along with the focal firm to provide goods and services to consumers are viewed as⠐ £ ⠐ £ corporate partners Firms that provide materials, transportation, advertising, accounting, and other goods and services, helping a firm create value for its customers, are called ⠐ £ ⠐ £ external The difference between a firms immediate marketing environment and its macroenvironment is that the macroenvironment is ⠐ £ ⠐ £ culture The shared meanings, beliefs, morals, values, and customs of a group of people constitute their ⠐ £ regional culture Political candidates are notorious for appealing to the different beliefs and values of groups of potential voters in different areas of the country. These politicians are appealing to differences in ⠐ £ ⠐ £ culture Insight Guides, a line of travel books, provides travelers with background information about the peoples beliefs, values, and customs. Insights books educate travelers about a countrys ⠐ £ ⠐ £ can help to identify a particular group that might be interested in the marketers products. When studying culture, the challenge for marketers is to determine whether culture all of these Marketers have learned that culture influences __________ consumers buy. ⠐ £ ⠐ £ country culture Late in the day on September 11, 2001, the day of the World Trade Center attacks, Americans purchased all the American flags Walmart stores had available, nationwide. These purchases were indicative of can be used as a relevant identifier for a particular target group. he United States has often been called the melting pot society, integrating people from many different cultures into the social fabric of the country. The challenge for marketers is to determine whether a groups culture ⠐ £ ⠐ £ all of these identifiable elements of a countrys culture include ⠐ £ ⠐ £ language When considering the use of a radio commercial in England that was designed for U.S. markets, a marketer would likely need to consider which of the following aspects of culture that might be different between the two countries? ⠐ £ regional culture In New England foot-long sandwiches are called grinders while in many other parts of the country they are called subs. This is an example of the impact of ⠐ £ ⠐ £ reduce regional cultural differences. the shift of population from the Rust Belt in the North to the Sun Belt in the South and Southwest will likely ⠐ £ ⠐ £ all of these Typical demographic data include ⠐ £ ⠐ £ demographics When marketers look at advertising media they often begin with viewer or listener profiles such as age, income, gender, and race. They then compare the media profile with their target audience. These marketers are using __________ to see if the media fit with their advertising agenda. ⠐ £ ⠐ £ purchase behavior Generational cohorts are groups of people of the same generation who have similar __________ because they have shared experiences and are in the same stage of life. ⠐ £ ⠐ £ demographic data indicating that Monday Night Football attracts male viewers and the Academy Awards attracts female viewers. Viewers of the baseball World Series are likely to see ads for beer and cars, and viewers of the Academy Awards broadcast (the Oscars) are likely to see ads for clothing and hair care products, due to ⠐ £ baby boomers From a marketing perspective, what separates __________ from the generation before them is that they are individualistic, value leisure time as a high priority, and are trying to maintain their youth. ⠐ £ generation x Marketers selling to the __________ generational cohort need to recognize that these consumers are not too interested in shopping, are cynical, and are less likely to believe advertising claims than the generation(s) before them. ⠐ £ ⠐ £ generation x Julie is an experienced shopper. She has been doing the familys weekly shopping since she was twelve. She is not very interested in status items, and questions advertising claims. Julie is most likely to be in the __________ generational cohort. ⠐ £ ⠐ £ generation x The __________ generational cohort is characterized by the question, Why shop at Neiman Marcus when Kohls and Target are just as good, cheaper, and more convenient? ⠐ £ ⠐ £ generation y Tweens are part of which generational cohort? ⠐ £ greenwashing ABC Company knew that its customers were interested in environmentally friendly business practices, so it began marking all of their products as environmentally friendly because they were made with all natural ingredients, even though ABCs plant was one of the worst polluters in town. The new term for this practice is ⠐ £ income in the United States has become more unevenly distributed. When considering income as a demographic variable affecting marketing efforts, marketers need to recognize that ⠐ £ ⠐ £ creates opportunities to provide value to each group. Astute marketers recognize that the increasing disparity of income between upper- and lower-income groups value ince the late 1970s, most American families have seen their income growth stagnate, with income rising only slightly more than inflation. This has changed many Americans consumers concept of ⠐ £ ⠐ £ useful predictions of purchase behavior. for some products, marketers can combine education level with other data like occupation and income to obtain ⠐ £ ⠐ £ spend their disposable income differently. Marketers know that, compared to high school graduates who are working full time, college students ⠐ £ have been blurred in the past several years. gender roles they speak different languages and come from different cultures. Marketers should not assume that they can target all Asian consumers in the United States with one strategy because approximately 80 percent of all population growth in the next 20 years is expected to come from minority groups. Marketers in the United States are paying increasing attention to ethnic groups because ⠐ £ New York, Los Angeles, and Chicago. Marketers are more likely to find higher concentrations of foreign-born Americans and recent immigrants in⠐ £ the fastest growing minority population. Though Asian Americans comprise only 3 percent of the U.S. population, they represent ⠐ £ green marketing strategic efforts to supply consumers with environmentally friendly merchandise are called ⠐ £ more green-consumer conscious. Compared to consumers in the United States, Europeans are ⠐ £ ⠐ £ add value that other products do not have. By offering environmentally responsible products, green marketers ⠐ £ ⠐ £ value contributing to a greener environment. Many American consumers are purchasing hybrid automobiles even though they are more expensive and sometimes less fuel efficient when compared to compact conventional autos. These consumers ⠐ £ Honest telemarketers found it easier to reach customers. he U.S. Federal Trade Commission created the Do Not Call Registry to curb problems with unwanted telephone solicitations. Which of the following was NOT one of the results? ⠐ £ his lack of privacy. Recently, Jason, one of the few Americans who has not registered with the Do Not Call Registry, received a call from a marketer suggesting Jason needed additional insurance since he had just become a father and changed jobs. Jason was shocked and very concerned about ⠐ £ grab consumers attention. The many demands on consumers today have made it more difficult for marketers to ⠐ £ ⠐ £ all of these The reality that marketers face consumers who are time poor is illustrated by the fact that ⠐ £ ⠐ £ making their products available whenever and wherever consumers want them. Because Americans are working longer hours without increases in real, disposable income, and are utilizing an army of communication devices to keep up with the demands in their personal and work lives, retailers are ⠐ £ ⠐ £ the time-poor society. David travels a great deal in the course of his business. He has noticed ads in many new places, including fortune cookies, baggage claim conveyor belts, on the sides of buses, etc. Marketers would like to reach David, and are responding to concerns about ⠐ £ ⠐ £ advertising their products heavily on daytime television. Gretchen has a job that requires working late several nights a week. This puts a lot of strain on her to find time to shop and prepare meals for her family. Grocery stores recognize the importance of consumers like Gretchen and have responded in all of the following ways except ⠐ £ meet inventory needs. A recent advance in technology called RFID makes it easier for manufacturers, distributors, and retailers to track items through production, distribution, and sales. This advance helps the firm to ⠐ £ ⠐ £ age When marketers monitor the economic situation affecting their target markets, they are likely to monitor changes in all of the following EXCEPT ⠐ £ Mexican products became more expensive while U.S.-made products became comparatively less expensive. In the early 1990s, the inflation rate in Mexico was twice the rate in the United States, but the Mexican monetary authorities kept the peso/dollar exchange rate almost constant. For Mexican consumers ⠐ £ ⠐ £ more Canadian visitors. Every winter, resort managers in Myrtle Beach, South Carolina, check the exchange rate between the U.S. dollar and the Canadian dollar. In recent years, the exchange has changed from approximately $0.65 Canadian dollars per U.S. dollar, to approximately equal value of both currencies (i.e., $1 Canadian is worth about the same as $1 U.S.). These resort managers should expect ⠐ £ ⠐ £ increased choices. Laws that prohibit the formation of monopolies or alliances that would damage a competitive marketplace benefit consumers through ⠐ £ ⠐ £ generation z Which of the following groups has never lived without easy access to the Internet and other digital technologies? ⠐ £ ⠐ £ culture Which of these is a macroenvironmental factor? ⠐ £ ⠐ £ green marketing Kimberly-Clark recently introduced rolls of toilet paper without the cardboard core. What social trend does this product respond to? ⠐ £ ⠐ £ generation z The members of the __________ generational cohort tend to share preferences for TV shows and video games with their parents. ⠐ £ generation z the members of the __________ generational cohort were born into a world where the Internet and extensive digital technologies already existed. ⠐ £ creating an advertising campaign to target elementary school children. If McDonalds wanted to change its marketing strategy in response to the social trends outlined in the text, it might consider all of the following ideas EXCEPT ⠐ £ wireless payments from mobile devices. Suppose that you are the vice president of marketing for Target, the large retail store chain. You want to keep your website and in-store services current with technological advances. You would be experimenting with the next expected development in mobile technology, which is ⠐ £ ⠐ £ greenwashing Some companies have been accused of taking advantage of the current social trend of green marketing, positioning their products as environmentally friendly when this may not actually be the case. This is called ⠐ £ ⠐ £ yoga Part of the social trend toward health and wellness is a concern about the increasing degree of obesity in the United States. In addition, trend-watchers are noting the increasing popularity of ⠐ £ legislation and laws The political/regulatory environment comprises political parties, governmental organizations and ⠐ £ ⠐ £ baby boomer baby boomer gen y Which generation is also known as Millennials? ⠐ £ The first generation of latchkey children. Generation X is is known for which of the following characteristics? ⠐ £ $5,800 the poorest 10 percent of the U.S. population earned an average of _______ in 2010. ⠐ £ African American U.S. households are more affluent than previous studies suggested. Which statement about the changing diversity in the United States is TRUE? ⠐ £ privacy concerns Which social trend would lead you to purchase a protection plan against identity theft? ⠐ £ ⠐ £

ACT Trigonometry The Complete Guide

ACT Trigonometry The Complete Guide SAT / ACT Prep Online Guides and Tips Trigonometry is the branch of math that deals with right triangles and the relationships between their sides and angles. (The word "trig" is related to the word "triangle," to help you remember.) There will generally be around 4-6 questions questions on the ACT that deal with trigonometry (the official ACT guidelines say that trigonometry problems make up 7% of the test). They may seem complicated at first glance, but most of them boil down to a few simple concepts. This article will be your comprehensive guide to the trigonometry you’ll need to know for the ACT. We’ll take you through the meaning of trigonometry, the formulas and understandings you’ll need to know, and how to tackle some of the most difficult ACT trig problems. What is Trigonometry and How Do I Use It? Trigonometry studies the relationships between the sides and angles of right triangles. The ratios between the measures of the sides of a right triangle and the measures of its angles are consistent, no matter how large or small the triangle. Some of the many different possible types of right triangles. If you know one side measure and one non-90 ° angle of the right triangle, you will be able to determine the rest of the triangle’s sides and angles. And if you have the lengths of two sides of a right triangle, you will be able to find the measure of all the interior angles. If we have two side lengths, we can use the Pythagorean theorem to find the third. So $12^2+14^2=c^2$ $c^2=340$ $c=√340$ or $c=2√85$ But what if we only have one side length and the measure of one of the (non-ninety degree) angles? Even though we only have the length of one side, we can still find the others using trigonometry because we have the measure of one of the acute angles. So here, we could say $sin 34 ° =12/\hypotenuse\$ So $\hypotenuse\ = 12/{sin 34 °}$ Don't worry if this doesn't make sense to you yet! We'll break down each step as we go further into the guide. (Note: to find the actual degree measure of an angle using two side lengths, you would have to perform an inverse function calculation (also called an "arc" function). But DON’T WORRY- the ACT will never actually make you do this! In terms of your ACT math prep, understand that the test will only ever ask you to calculate far enough to say, for example, "$Cosineâ€Å'x=4/5$." You will never have to find the actual angle measure of x on the ACT. The way we find these measures is by understanding the ratio of certain sides of the triangle to their corresponding angles. These are called trigonometric functions and there are three that you should memorize for the ACT: sine, cosine, and tangent. The easiest way to understand this is through the mnemonic device SOH, CAH, TOA, which we will discuss in a bit./p Trigonometry is widely used in navigation as well as in calculating heights and distances. (In case you were wondering if you ever needed trig in real life.) The Most Common ACT Trig Questions The trigonometry questions on the ACT will fall into just a few different categories. We have provided a few real ACT math examples to demonstrate each concept. #1: Finding the sine, cosine, or tangent (or, more rarely, cosecant, secant, or cotangent) of an angle from a given right triangle diagram. #2: Finding the sine, cosine, or tangent of a right triangle from a word problem. Alex props up a ladder against a wall. The ladder makes an angle of 23 ° from the ground. If the ladder is 10 feet long, what is the expression for finding the distance the foot of the ladder is from the wall? A. 10 $â€Å'tanâ€Å'23 °$ B. 10 $â€Å'sinâ€Å'23 °$ C. 10 $â€Å'cosâ€Å'23 °$ D. $cosâ€Å'{10/23}$ E. $sin{10/23}$ #3: Finding the sine, cosine, or tangent (or, more rarely, cosecant, secant, or cotangent) of an angle from a given sin, cos, or tan and a range in which the angle falls. If $tanâ€Å'ÃŽËœ=3/4 \and 180 °ÃŽËœ270 °$, what is $sinÃŽËœ$? A. $4/3$ B. $-4/3$ C. $-3/4$ D. $3/5$ E. $-3/5$ #4: Finding the period or amplitude of a graph. What is the amplitude of the graph? A. 1 B. 2 C. Ï€ D. 2Ï€ E. 0 #5: Law of sines or law of cosines question. For a question like this, they will give you the formulas for the law of sines or law of cosines, so you don’t have to worry about memorizing them. Having the formula won’t help you much, however, if it looks or sounds like gibberish to you. As you go through this guide, do the ACT math practice questions we've provided, and familiarize yourself with the trigonometry language used in these questions, they will become much easier to solve. We’ll go through how to solve each of these kinds of problems, but this gives you a sense of what the ACT trig problems will look like on the test. SOH, CAH, TOA Remember this famous mnemonic? It will save your life. Let's go through each one. SOH (Sine) Sine is a function where the sine (also called "sin") value of an angle theta can be found by using the ratio of the side of the triangle opposite the angle theta over the hypotenuse of the triangle. SOH: Sin $ÃŽËœ$ = Opposite side of triangle/Hypotenuse of triangle So in this triangle, $sinâ€Å'ÃŽËœ=b/c$ because the side opposite the angle $ÃŽËœ$ is b and the hypotenuse is c. CAH (Cosine) Cosine is a function where the cosine (also called "$cos$") value of an angle theta ($ÃŽËœ$) can be found by using the ratio of the side of the triangle adjacent to the angle $ÃŽËœ$ (that is not the hypotenuse) over the hypotenuse of the triangle. CAH: Cos $ÃŽËœ$ = Adjacent side of triangle/Hypotenuse of triangle Note: adjacent means the side of the triangle that is touching the angle/helps to create the angle $ÃŽËœ$. In this same triangle, $cosâ€Å'ÃŽËœ=a/c$ because the side adjacent the angle $ÃŽËœ$ is a and the hypotenuse is c. TOA (Tangent) Tangent is a function where the tangent (also called "tan") value of an angle theta can be found by using the ratio of the side of the triangle opposite the angle theta over the adjacent side of the triangle to theta (that is not the hypotenuse). TOA: Tan $ÃŽËœ$ = Opposite side of triangle/Adjacent side of triangle. In this same triangle, $tanâ€Å'ÃŽËœ=b/a$ because the side opposite the angle $ÃŽËœ$ is b and adjacent side is a. Now that you are familiar with your mnemonic devices, you can put together questions with multiple steps. For example, a slightly more difficult question may look something like this: You are given the lengths of two sides of the triangle but need the length of the third side to solve the problem. Don’t forget that this is a right triangle and you can use the Pythagorean theorem to find the length of the third side! So $2^2+x^2+5^2$ $x^2=21$ $x=√21$ Now that you have the measure of the third side, you can find $tanâ€Å'B$. $Tanâ€Å'B=\Opposite/\Adjacent$ $TanB=√21/2$ So the answer is F, $√21/2$ Which Sides are Opposite or Adjacent? The hypotenuse of a triangle always stays the same, but the sides opposite or adjacent switch depending on the angle of focus. For example, if you’re trying to find the $sin$ of angle $ÃŽ ³$, you would use the ratio of $b/c$; if you’re trying to find the sin of angle $ÃŽ ¾$, you would use the ratio of $a/c$. How Do I Use These Ratios? For the purposes of the ACT, you will either be given two side lengths, which means your final answer would look like: $Sin ÃŽËœ = \opposite/\hypotenuse$ Here, you find the length of the third side using the Pythagorean theorem. So $10^2+x^2=12^2$ $x^2=44$ $x=√44$ Now $sin$ = $\opposite/\hypotenuse$, so $sinâ€Å'M=√44/12$. So the answer is K. No need to find the degree measure (arcsine or inverse sine) of angle M on your calculator- this is as far as you need to go. You may also be given the value of the angle and the side length of the denominator of your ratio. When this happens, manipulate the equation as you would algebraic equation and multiply the opposite side by the denominator. $sin ÃŽËœ = \opposite/\hypotenuse$ $hypotenuse$*sinÃŽËœ =$ opposite Since you're being asked for the length of the boat to the dock and this side is opposite the 52 ° angle, you know you will either need sin or tan (cos uses adjacent and hypotenuse, not opposite). You are also given an adjacent length, 30 miles, so you will be using tan. (You can tell this side is adjacent because the side opposite the 90 ° angle is the hypotenuse, so 30 miles must be another leg of the triangle). $tanâ€Å'ÃŽËœ=\opposite/\adjacent$ So $tanâ€Å'52 °=x/30$ 30â€Å' $tanâ€Å'52 °=x$ So the answer is F, the length of the boat to the dock is 30 tan 52 °. And again with the word problem from earlier. Alex props up a ladder against a wall. The ladder makes an angle of 23 ° from the ground. If the ladder is 10 feet long, what is the expression for finding the distance the foot of the ladder is from the wall? A. 10 â€Å'$tanâ€Å'23 °$ B. 10â€Å' $sinâ€Å'23 °$ C. 10 $â€Å'cosâ€Å'23 °$ D. $cosâ€Å'10/23$ E. $sinâ€Å'10/23$ First, draw your picture to more easily visualize what is being asked. So we have the measure between the ladder and the ground of $23 °$. We are also working with the lengths of the adjacent side of the triangle and the hypotenuse. This means we will need cosine, as $cosâ€Å'ÃŽËœ=\opposite/\hypoteneuse$ So $cosâ€Å'23 °=\adjacent/10$ (Why 10? The ladder is 10 feet long) This becomes 10 $â€Å'cosâ€Å'23 °=\adjacent$ So the answer is C, 10 $â€Å'cosâ€Å'23 °$ Will I Have to Find the Measure of an Angle? The short answer is: no, you won't be asked to find exact measure of an angle degree using trigonometry. The longer answer is: no, you won't be asked to find the measure of an angle, but it's important to know it's done. To get the actual degree measure of theta (ÃŽËœ), you would have to perform an inverse (also called "arc") function. This would transform your equation from, for example: $Sinâ€Å'ÃŽËœ=x/y$ $ÃŽËœ=sin^{−1}(x/y)$ Although you will never be asked to find the $arctan$, $arcsin$, or $arccos$ of an angle to solve for the actual angle measure degree, it is important for you to understand how these equations are manipulated to get to the right ACT answer. Because we know that $tan^{−1}(a/b)$ is the arctan, we know that it means we can re-write it as $tanâ€Å'ÃŽËœ=a/b$ We also know that $tanâ€Å'ÃŽËœ=\opposite/\adjacent$ This means that, for the angle $ÃŽËœ$, a is the opposite and b is the adjacent. We also know that $cosâ€Å'ÃŽËœ=\adjacent/\hypoteneuse$ Because we already discovered that b is the adjacent, it means that the answer is D, $b/{√(a^2+b^2)}$ When are Sin, Cos, and Tan Positive or Negative? Depending on where the triangle is positioned in two dimensional space, the sin, cos, and tan values will be negative or positive. There are four quadrants in two dimensional space and they are split along the x and y axes. In quadrant I, both x and y are positive. In quadrant II, x is negative and y is positive In quadrant III, both x and y are negative And in quadrant IV, x is positive and y is negative Just like with x and y values, sin, cos, and tan are either positive or negative depending on the quadrant the triangle/angle is in. In quadrant I, all are positive In quadrant II, sin is positive and both cos and tan are negative In quadrant II, tan is positive and both sin and cos are negative In quadrant IV, cos is positive and both sin and tan are negative A good way to memorize this is by the mnemonic acronym ASTC- All Students Take Chemistry- to see which of the functions is positive, depending on the quadrant. So All are positive in quadrant I, Sin is positive in quadrant II, Tan is positive in quadrant III, and Cos is positive in quadrant IV If $tanâ€Å'ÃŽËœ=3/4$ and $180 °ÃŽËœ270 °$, what is $sinÃŽËœ$? A. $4/3$ B. $−4/3$ C. $-3/4$ D. $3/5$ E. $-3/5$ To solve this problem, first complete the side lengths of the triangle using the Pythagorean theorem (or using your knowledge of 3-4-5 triangles). $Tan ÃŽËœ = \opposite/\adjacent$, so we know that 3 is our opposite and 4 is our adjacent. This makes our hypotenuse unknown. $3^2+4^2=c^2$ $c^2=25$ $c=5$ So our hypotenuse is 5. We know that $sin ÃŽËœ = \opposite/\hypotenuse$. So $sinâ€Å'ÃŽËœ=3/5$. But wait! We're not done. Because they told us that $ÃŽËœ$ lies between $180 °$ and $270 °$, we know that the sin value of $ÃŽËœ$ is negative. According to ASTC, only the tan of angle $ÃŽËœ$ will be positive between $180 °$ and $270 °$. So our final answer is E,$-3/5$ Secondary Trig Functions On rare occasions on the ACT, you will be asked to give one of the secondary trig functions. These are cosecant, secant, and cotangent. These will come up on a maximum of one question per test. You might notice that they sound similar to the primary trig functions you learned above. In fact, these secondary functions are the reciprocal (reversal) of sin, cos, and tangent. To help you remember which is which, look to the third letter of the each word: Cosecant = reciprocal of sine Secant = reciprocal of cosine Cotangent = reciprocal of tangent Cosecant Cosecant is the reciprocal of sine. $Cosecant ÃŽËœ = \hypotenuse/\opposite$ Secant Secant is the reciprocal of cosine. $Secant ÃŽËœ = \hypotenuse/\adjacent$ Cotangent Cotangent is the reciprocal of tangent. $Cotangent ÃŽËœ = \adjacent/\opposite$ Useful Formulas with Sin, Cos, and Tan There are two formulas that will appear occasionally on the ACT. If you feel that you cannot possibly memorize any more trigonometry, do not worry about memorizing these- they will only ever come up on a maximum of one question per test. But if you want to get every last point possible, then these would be useful for you to memorize. $Sin^2{ÃŽËœ}+cos^2{ÃŽËœ}=1$ Whenever you see $sin^2{ÃŽËœ}+cos^2{ÃŽËœ}$, immediately replace it with 1. This will often make problems much simpler and therefore easier to solve. You can also manipulate the equation around just as you would any other algebraic equation. So $cos^2{ÃŽËœ}=1-sin^2{ÃŽËœ}$, and $sin^2{ÃŽËœ}=1-cos^2{ÃŽËœ}$ They told us that $x$ is between 0 and $Ï€/2$ radians, so we know that both sin and cos are positive (because it is in quadrant I). We also know that $Sin^2{ÃŽËœ}+cos^2{ÃŽËœ}=1$ which means that $sin^2{ÃŽËœ}=1-cos^2{ÃŽËœ}$. So if we square the first fraction (to get rid of the square root sign), we would have: $({√{1-cos^2{x}}}/{sinx})^2$ $(1-cos^2{x})/(sin^2{x})$ Because $1−cos^2{ÃŽËœ}$ is equal to $sin^2{ÃŽËœ}$, we can replace our $1−cos^2{x}$ with $sin^2{x}$ This gives us $(sin^2{x})/(sin^2{x})$, which equals 1. We can do the exact same process to the second fraction: $({√{1-sin^2{x}}}/{cosx})^2$ $(1-sin^2{x})/(cos^2{x})$ $(cos^2{x})/(cos^2{x})$, which also equals 1. So then we have 1 + 1 = 2 The final answer is H, 2. $$(sinâ€Å'ÃŽËœ)/(cosâ€Å'ÃŽËœ)=tanâ€Å'ÃŽËœ$$ This equation makes sense logically if you think about it with a diagram. Say you have a triangle that looks like this $Sin ÃŽËœ$ would be $5/13$. $Cos ÃŽËœ$ would be $12/13$. $Tan ÃŽËœ$ would be $5/12%. You could also say $tanâ€Å'ÃŽËœ={sinâ€Å'ÃŽËœ}/{cosâ€Å'ÃŽËœ}={5/14}/{12/13}=(5/13)(13/12)=65/156$ (you could also just cancel out both 13s to make it simpler) = $5/12$ Graphing Trig Functions The ACT will not ask you to graph a trig function, but you do need to recognize what each function looks like as a graph. Sine The sine graph crosses through the origin in a wave pattern. It always rises after $x = 0$, after it crosses the origin. It is an "odd" function because it is not symmetrical about the y-axis. Cosine The cosine graph is similarly "wavy" but it does not cross the origin. It descends after $x = 0$. It might help you to remember that cosine descends after x = 0 by thinking that "co is low" Cosine is an "even" function because it is symmetrical about the y-axis. This means that for all values of $x$, $f(x) = f(-x)$. For example, in the graph above, $y = 0.7$ both when $x = 1$ and when $x = -1$ Sometimes all the question will ask is for you to identify if a graph is even or odd or if a graph is sin or cos. This will be an easy point for you to get if you can remember the basic elements of trig graphs. Though you can figure this question out from the information given, it will take far less time if you can recognize that the graph is a cosine graph and is therefore even. And on the ACT, time is limited and valuable. Tangent The tangent graph looks very different than the sin and cos graphs- you just have to be able to recognize the tangent graph when you see it. Periods and Amplitudes The ACT will sometimes ask you to find the period or the amplitude of a sine or cosine graph. Period The period of a graph is the distance along the x-axis at which point the graph starts to repeat. Find the distance along the x-axis where the point returns to where it started after making a complete cycle. The period of the sine graph here is 2Ï€. It has to go both up and down before finally returning to $y = 0$. The period of the cosine graph here is also 2Ï€. It must go down and then back up to return to where it began at $y = 1$. Amplitude The amplitude of a graph is its height from the x-axis, the distance between its highest $y$-value and $x = 0$. So to use the same graph as above: Both the sine and the cosine have an amplitude of 1 (and, again, a period of 2Ï€). Radians Radians are another (more accurate) way to measure a distance around a circle, rather than using degrees. Instead of degrees, radians are expressed in terms of Ï€ (and fractions of Ï€). If you have a complete circle, that is 360 degrees. It is also 2Ï€ radians. Why 2Ï€ radians? Well, think of the formula for the circumference of a circle. C=2Ï€r. If your radius is 1, then your circumference is 2Ï€, which is the same as your radian measure. A circle that has a radius of 1 and is centered at the origin is called the "unit circle." It is convenient to think about radians by situating them on a unit circle. So if you have a half circle, it is 180 ° or Ï€ radians. And so on. 90 ° is $Ï€/2$ radians, 270 ° is $(3Ï€)/2$ radians. To convert degrees to radians, it is easiest to use the conversion between 180 ° and Ï€. Convert 45 ° to radians = $(45){Ï€/180}=Ï€/4$ â€Å'radians Convert $(3Ï€)/4$ radians to degrees = ${(3Ï€)/4}(180/Ï€)$=135 ° Steps to Approaching a Trig Question So let’s review how to break down a trig question #1: Identify if the problem requires trigonometry. You can tell that the problem will require trig when: The problem mentions sin, cos, or tan in the question or in the answer options The problem gives you a diagram or describes a right triangle and then asks you to find a value that cannot be found by using the pythagorean theorem alone. As we saw in this problem earlier- you may use the pythagorean theorem in a trigonometry problem, but you cannot solve a trig problem by only using the pythagorean theorem. The problem shows you a "wavy" graph along the x and y axis The problem asks for a graph’s period or amplitude #2: Remember SOH, CAH, TOA. The vast majority of ACT trig questions will just require you to plug in values into the SOH, CAH, TOA acronyms to find your sine, cosine, or tangent values #3: Know how to manipulate SOH, CAH, TOA if need be. Trig functions can be manipulated just like any algebraic expression. So if you have $cosâ€Å'40 °=x/18$, the answer becomes 18â€Å' $cosâ€Å'40 °=x$ And if you have $sin^{−1}(10/23)=ÃŽËœ$, you could also say $sinâ€Å'ÃŽËœ=10/23$ If you have $(sinâ€Å'ÃŽËœ)/(cosâ€Å'ÃŽËœ)=tanâ€Å'ÃŽËœ$, it can become $(sinâ€Å'ÃŽËœ)=(tanâ€Å'ÃŽËœ)(cosâ€Å'ÃŽËœ)$ And if you remember that $sin^2{â€Å'ÃŽËœ}+cos^2{â€Å'ÃŽËœ}=1, then you can say $1−cos^2{â€Å'ÃŽËœ}=sin^2{â€Å'ÃŽËœ}, etc. #4:. Remember what the graphs of sine, cosine, and tangent look like. And know that: Period = horizontal distance Amplitude = vertical distance #5: Celebrate, because you’ve completed your ACT trig questions! The Take-Aways Although trigonometry problems may look intimidating, most every ACT trig question can be solved if you know the basic trig building blocks. To make the most of your ACT math prep, remember these three trig concepts: SOH, CAH, TOA, how to manipulate your equations, and how to recognize your function graphs. If you can remember these, you will find yourself solving most every trig question the ACT can throw at you. What's Next? Want more ACT math strategies and guides? Review our article on all the math topics tested on the ACT to make sure you've got them nailed down tight. Do you know your ACT solid geometry? Be sure to brush up if you're looking for every last point. Want to get a perfect ACT Math score? Check out our article on How to a 36 on the ACT Math Section by a 36 ACT-Scorer. Feeling overwhelmed? Don't know where to begin? Look no further than our articles on what is considered a good, bad, or excellent ACT score. Don't know what days the ACT is offered? Check out our complete list of ACT test dates to find the right one(s) for your schedule. And if you find yourself running out of time on the math section, look no further than our article on how to stop running out of time on the ACT math. Want to improve your SAT score by 160 points? Check out our best-in-class online SAT prep program. We guarantee your money back if you don't improve your SAT score by 160 points or more. Our program is entirely online, and it customizes what you study to your strengths and weaknesses. If you liked this Math strategy guide, you'll love our program. Along with more detailed lessons, you'll get thousands of practice problems organized by individual skills so you learn most effectively. We'll also give you a step-by-step program to follow so you'll never be confused about what to study next. Check out our 5-day free trial:

Mary Cassatt essays

Mary Cassatt essays She was a woman who soared to the stars across the firmament of the male-dominated international art world. She was the only American, male or female, to become a member of the French Impressionists. Most women of her time were confined to the circumscribed world of marriage, homemaking and motherhood, but not her. Who is she? She is Mary Cassatt, certainly the greatest American female artist of her time, and arguably the greatest artist produced by any nation. Born in Pittsburgh on May 23, 1844, this American artist studied at the Pennsylvania Academy of Fine Arts in Philadelphia before traveling extensively throughout Europe. The daughter of an affluent businessman, Cassatt's parents were not enthused with their daughter's aspirations to become an artist, preferring instead for her to return home to marry and settle down. But the independent Cassatt made Paris her permanent home in 1874, the year of the first Impressionist Exhibition and Cassatt's first Salon success. She met Degas in 1877 and the relationship had an immediate effect on Cassatt's work. While she employed an impressionist style and exhibited at 4 of 8 Impressionist exhibitions, her paintings express a uniqueness of their own. Most famous for her mother and daughter paintings, Cassatt also called upon other motifs which depicted the world around her. Access to the cafes and corridors of her male counterparts were denied to women, yet Cassatt's paintings are expressions of her ability to circumvent these limitations and reflect another aspect of Parisian modern life. She produced genre paintings and portraiture, and Cassatt's depictions of women are ones of independent and powerful beings. The first three decades of Cassatts career was largely shaped by outside influences- art school in the 1860s, the masters of realism in the 1870s, and the French Impressionists in the 1880s. The decade of the 1890s marks a period when her unique creativity and ...

Utilitarianism Coursework Example | Topics and Well Written Essays - 250 words

Utilitarianism - Coursework Example ood would mean the opposite of minimizing suffering as that would be disregarding intensive research conducted by Stuart Mill and myriad philosophers. â€Å"Actions are right in proportion as they tend to promote happiness (pleasure)† (Mill, 2005, P. 5). Promoting happiness; thus, pleasure, entails maximizing good deeds to a greater population while minimizing suffering in the same population. In the least terms, both the primary and secondary objectives are directly proportional to each other. It is impossible to do good without minimizing suffering. In fact, minimizing suffering among the greater population can be termed as maximizing good to the same population; hence, increased happiness and reduced pain. Utilitarianism lies in the complete spirit of the ethics of utility. â€Å"Do as you would be done by, and to love your neighbor as yourself† (Mill, 2005, P. 12). In the generic perspective, individual actions towards others ought to depict how others should act if they were to reciprocate on similar lines. Generating happiness entails both maximizing good to the greatest population and minimizing suffering in the same population. Humanity ought to be governed by love. If love for others measured similar to love towards self, everyone would generate happiness and reduce suffering. The two objectives of the doctrine cannot be analyzed separately rather co-jointly through a complex interplay of beliefs and ethical considerations. The interplay is evident from the activities conducted by members of the Unites States Congress. Both members of the Senate and the House of Representatives are elected to end suffering in the community in both the political, economic, and social spheres in addition to establishing bills and implementing laws to generate the greatest good for the greatest number. Such members are governed by ethics, with the doctrine of utilitarianism forming a significant proportion of their obligations. As stated earlier, minimizing suffering is