The History of Trigonometry is one type of mathematics that deals with the sides and the angles. In the First paragraph I would like to explain the main history of trigonometry and also go into detail about the certain aspects of the mathematic branch. In the Second paragraph I will explain details on 4 of the great trigonometry mathematicians who discovered information about trigonometry, as well as improved existing theories as well. In the Third paragraph I would like to explain how these theories and techniques are applied today by various corporate companies. The improvement of trigonometry is still improving today, and all of the details talked about have either been elaborated or been used for extraordinary purposes.
Paragraph 1, In the beginning trigonometry started of in these job branches Navigation, surveying, and astronomy. In all of these job aspects, proper distance between things needed to be determined. Such as the distance between the earth and the moon, or for distances that can be measured directly, or the distance from one continent to another. In all of this trigonometry was applied. Today most trigonometry is still applied in the same places , only with chemistry, physics, and at least all branches of engineering.
Paragraph 2, some of the greatest mathematicians are quoted for there superior workings in trigonometry. As for the word trigonometry it appeared in a book Trigonometria Published by Bartholomeo Pitiscus in the year of 1595. Another mathematician Thales of Miletus used shadow lengths to calculate the heights of the pyramids in around 600 BC. Aryabhata the Elder, was a Hindu mathematician who gave tables of half chords, known by the term jyaardha or simply jya. Hipparchus was known to produce the first known table of chords in 140 BC. Hipparchus's work was further extended by Menelaus and Ptolemy who used Babylonian observations and traditions.
Paragraph 3, How trigonometry is applied today in our world. Trigonometry is...
...Running Head: History of TrigonometryHistory of Trigonometry
Rome Fiedler
History of Mathematics 501
University of Akron
April 29, 2012
History of Trigonometry: An Introduction
Trigonometry is useful in our world. By exploring where these concepts come from provides an understanding in putting this mathematics to use. The termTrigonometry comes from the Greek word trigon, meaning triangle and the Greek word meatria meaning measurement. However it is not native to Greek in origin. The mathematics comes from multiple people over a span of thousands of years and has touched over every major civilization. It is a combination of geometry, and astronomy and has many practical applications over history.
Trigonometry is a branch of math first created by 2nd century BC by the Greek mathematician Hipparchus. The history of trigonometry and of trigonometric functions sticks to the general lines of the history of math.
Early research of triangles could be found in the 2nd millennium BC, in Egyptian and Babylonian math. Methodical research of trigonometric functions started in Greek math, and it reached India as part of Greek astronomy. In Indian astronomy, the research of trigonometric functions flourished in the Gupta dynasty,...
...f ter
A Brief History of Trigonometry
A painting of the famous greek geometrist, and "father of measurement", Euclid. In the times of the greeks, trigonometry and geometry were important mathematical principles used in building, agriculture and education.
The Babylonians could measure angles, and are believed to have invented the division of the cirle into 360º.[1] However, it was the Greeks who are seen as the original pioneers of trigonometry.
A Greek mathematician, Euclid, who lived around 300 BC was an important figure in geometry and trigonometry. He is most renowned for Euclid's Elements, a very careful study in proving more complex geometric properties from simpler principles. Although there is some doubt about the originality of the concepts contained within Elements, there is no doubt that his works have been hugely influential in how we think about proofs and geometry today; indeed, it has been said that the Elements have "exercised an influence upon the human mind greater than that of any other work except the Bible.<Complete Dictionary of Scientific Biography, 2008>

[edit]First Tables of Sines or Cosines
Hiparchus
In the second century BC a Greek mathematician, Hipparchus, is thought to have been the first person to produce a table for solving a triangle's lengths and...
...Teaching trigonometry using Empirical Modelling
0303417
Abstract
The trigonometric functions sin(x), cos(x) and tan(x) are relationships that exist between the angles
and length of sides in a rightangled triangle. In Empirical Modelling terms, the angles in a triangle
and the length of the sides are observables, and the functions that connect them are the definitions.
These welldefined geometric relationships can be useful when teaching GCSElevel students about
the functions, as they provide a way to visualise what can be thought of as fairly abstract functions.
This paper looks at how different learning styles apply to Empirical Modelling, and presents a practical example of their use in a model to teach trigonometry.
1 Introduction
The trigonometric functions sin(x), cos(x) and tan(x)
are relationships that exist between the angles and
length of sides in a rightangled triangle. In Empirical Modelling terms, the angles in a triangle and the
length of the sides are observables, and the functions
that connect them are the definitions. These welldefined geometric relationships can be useful when
teaching GCSElevel students about the functions,
as they provide a way to visualise what can be
thought of as fairly abstract functions. Rather than
teaching students by showing them diagrams in an
instructive way (already a good way of doing it), a
constructive approach may allow students to gain a
better understanding...
...Paper  I
1. Sources: Archaeological sources:Exploration, excavation, epigraphy, numismatics, monuments Literary sources: Indigenous: Primary and secondary; poetry, scientific literature, literature, literature in regional languages, religious literature. Foreign accounts: Greek, Chinese and Arab writers.
2. Prehistory and Protohistory: Geographical factors; hunting and gathering (paleolithic and mesolithic); Beginning of agriculture (neolithic and chalcolithic).
3. Indus Valley Civilization: Origin, date, extent, characteristics, decline, survival and significance, art and architecture.
4. Megalithic Cultures: Distribution of pastoral and farming cultures outside the Indus, Development of community life, Settlements, Development of agriculture, Crafts, Pottery, and Iron industry.
5. Aryans and Vedic Period: Expansions of Aryans in India. Vedic Period: Religious and philosophic literature; Transformation from Rig Vedic period to the later Vedic period; Political, social and economical life; Significance of the Vedic Age; Evolution of Monarchy and Varna system.
6. Period of Mahajanapadas: Formation of States (Mahajanapada): Republics and monarchies; Rise of urban centres; Trade routes; Economic growth; Introduction of coinage; Spread of Jainism and Buddhism; Rise of Magadha and Nandas. Iranian and Macedonian invasions and their impact.
7. Mauryan Empire: Foundation of the Mauryan Empire, Chandragupta, Kautilya and Arthashastra; Ashoka;...
...Trigonometry (from Greek trigōnon "triangle" + metron"measure"[1]) is a branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides. Trigonometry defines the trigonometric functions, which describe those relationships and have applicability to cyclical phenomena, such as waves. The field evolved during the third century BC as a branch of geometry used extensively for astronomical studies.[2] It is also the foundation of the practical art of surveying.
Trigonometry basics are often taught in school either as a separate course or as part of a precalculus course. The trigonometric functions are pervasive in parts of pure mathematics and applied mathematics such as Fourier analysis and the wave equation, which are in turn essential to many branches of science and technology. Spherical trigonometry studies triangles on spheres, surfaces of constant positive curvature, in elliptic geometry. It is fundamental to astronomy and navigation. Trigonometry on surfaces of negative curvature is part of Hyperbolic geometry.


\History
Main article: History of trigonometry
The first trigonometric tablewas apparently compiled byHipparchus, who is now consequently known as "the father of trigonometry."[3]
Sumerian astronomers introduced angle...
...Trigonometry (from Greek trigōnon "triangle" + metron "measure"[1]) is a branch of mathematics that studies triangles and the relationships between the lengths of their sides and the angles between those sides. Trigonometry defines the trigonometric functions, which describe those relationships and have applicability to cyclical phenomena, such as waves. The field evolved during the third century BC as a branch of geometry used extensively for astronomical studies.[2] It is also the foundation of the practical art of surveying.
Trigonometry basics are often taught in school either as a separate course or as part of a precalculus course. The trigonometric functions are pervasive in parts of pure mathematics and applied mathematics such as Fourier analysis and the wave equation, which are in turn essential to many branches of science and technology. Spherical trigonometry studies triangles on spheres, surfaces of constant positive curvature, in elliptic geometry. It is fundamental to astronomy and navigation. Trigonometry on surfaces of negative curvature is part of Hyperbolic geometry.
Contents
f one angle of a triangle is 90 degrees and one of the other angles is known, the third is thereby fixed, because the three angles of any triangle add up to 180 degrees. The two acute angles therefore add up to 90 degrees: they are complementary angles. The shape of a triangle is completely determined,...
...wRGEARJGNEJRLK HREJKH ERN GREKGERgkwergwEGJ WJRE GWKJER GWKERGKWERJG KW EJRGKJEW GEWKJG WJKEW tgkjE WGWEwejk GREJkgerkah earh jkearherakjh earkjh earkjh eraljherajl heral jhreajl heraj lheralj heralj her jlheraljh earh erah teh eat haahearh erah eath eath eta heth urhgqaehg isodghsdouihgaeuhwrg rwlnslnsdlgnetlnlsnrlgneorignerg eth yrh yr wehfb ygrwugy wrghrGrigirGW BER GBR TB AD B ADB RTAH ART HBAED TH ATEH ERTA HET AH RTH AER G ERAG ERA GE RAG REA GYA ER TRE HG R gera ha terh aerh brt h erag er yht hqrajgkjjern jkwrbn rejk bkrjw r wgj rg hgr kgh jurghurghrgr guhrg uh rg huri i hur uh o rgoh h hgeohuwfeuhwf hewouu rwoeqoiew uowefh uwrugowfeugwfe ugo wefugo uwegf ugowfe guoewfugwfe guwegufew guwfe ugefw ug feguw geufw guwefguwefgufewugewfgufgukdgdask g jksdjkwgjhwerjkt jhwjkwget kwettw t y wu u 7jae ga efv SD Gf hh eahr hreh tthr th ht he her rherhe erh rhejt rtjr jy kuu kku yu kkty j j ht gr gr gr gr RE REAHT EAHA ERT HET YH TE JTE AJ TAE J TE JA ETJ TE HE TAH ET J EATJ ET HA ET HAE TH AER AERH RE H AE HRER AH EAHLTRKE ALJHB KJB HK VFR DFF J UIJI IOH UHU IO I KIVNJK RERUUHGRE NTHENMTHE KT THT HTTJT Over the years, many have arisen to become what is commonly known as, a leader. Traits of a leader vary from being dedicated and altruistic to having courage and making sacrifices. All of those who step up to be a leader have a certain goal that they are trying to achieve. However, not all are successful in reaching what they aim for. This is what separates the true...
...
Today one of the most cherished ideologies of America is the fact that everyone is and should be created equal. With this cherished ideology bringing a sense of pride and diversity to America we must keep in mind that this cherished ideology did not always exist. Since 1865 various individuals and groups have not been able to receive and express their rights to full equal status in the United States. These different individuals and groups have seemingly fought for their rights in equality and have become pioneers in the fight for evolution for equality.
In 1865 African Americans in the United States under the 13th amendment were freed from the terrible burden of slavery. Through the 14th amendment they were given the right to citizenship and the right to equal protection. The 15th amendment gave them the right to vote regardless of their skin color race or any other type of servitude. These amendments were meant to be enforced and make a serious change in the everyday life of the average American.
With these amendments passing in 1865 they were meant to make a serious change towards the evolution of equality. These changes did not seem to happen right away and African Americans were still not being treated with equality. The average African American at this time were being denied there newly given rights every day making life extremely hard to stay...
{"hostname":"studymode.com","essaysImgCdnUrl":"\/\/imagesstudy.netdnassl.com\/pi\/","useDefaultThumbs":true,"defaultThumbImgs":["\/\/stmstudy.netdnassl.com\/stm\/images\/placeholders\/default_paper_1.png","\/\/stmstudy.netdnassl.com\/stm\/images\/placeholders\/default_paper_2.png","\/\/stmstudy.netdnassl.com\/stm\/images\/placeholders\/default_paper_3.png","\/\/stmstudy.netdnassl.com\/stm\/images\/placeholders\/default_paper_4.png","\/\/stmstudy.netdnassl.com\/stm\/images\/placeholders\/default_paper_5.png"],"thumb_default_size":"160x220","thumb_ac_size":"80x110","isPayOrJoin":false,"essayUpload":false,"site_id":1,"autoComplete":false,"isPremiumCountry":false,"userCountryCode":"US","logPixelPath":"\/\/www.smhpix.com\/pixel.gif","tracking_url":"\/\/www.smhpix.com\/pixel.gif","cookies":{"unlimitedBanner":"off"},"essay":{"essayId":65067355,"categoryName":"Periodicals","categoryParentId":"17","currentPage":1,"format":"text","pageMeta":{"text":{"startPage":1,"endPage":2,"pageRange":"12","totalPages":2}},"access":"premium","title":"The History Of Trigonometry","additionalIds":[19,7,93,2],"additional":["Natural Sciences","Education","Education\/Greek System","Awards \u0026 Events"],"loadedPages":{"html":[],"text":[1,2]}},"user":null,"canonicalUrl":"http:\/\/www.emaildata.pro\/essays\/HistoryTrigonometry65067355.html","pagesPerLoad":50,"userType":"member_guest","ct":10,"ndocs":"1,500,000","pdocs":"6,000","cc":"10_PERCENT_1MO_AND_6MO","signUpUrl":"http:\/\/www.emaildata.pro\/signup\/","joinUrl":"http:\/\/www.emaildata.pro\/join","payPlanUrl":"\/checkout\/pay","upgradeUrl":"\/checkout\/upgrade","freeTrialUrl":"http:\/\/www.emaildata.pro\/signup\/?redirectUrl=http%3A%2F%2Fwww.emaildata.pro%2Fcheckout%2Fpay%2Ffreetrial\u0026bypassPaymentPage=1","showModal":"getaccess","showModalUrl":"http:\/\/www.emaildata.pro\/signup\/?redirectUrl=http%3A%2F%2Fwww.emaildata.pro%2Fjoin","joinFreeUrl":"\/essays\/?newuser=1","siteId":1,"facebook":{"clientId":"306058689489023","version":"v2.9","language":"en_US"}}