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The first trigonometric table was apparently compiled by Hipparchus of Nicaea (180 – 125 BC), who is now consequently known as "the father of trigonometry." [ 17 ] Hipparchus was the first to tabulate the corresponding values of arc and chord for a series of angles.
Trigonometry has been noted for its many identities, that is, equations that are true for all possible inputs. [83] Identities involving only angles are known as trigonometric identities. Other equations, known as triangle identities, [84] relate both the sides and angles of a given triangle.
Deb Roy, Rama (1986), "The Great Trigonometrical Survey of India in a Historical Perspective" (PDF), Indian Journal of History of Science, 21 (1): 22– 32, archived from the original (PDF) on 25 January 2014; Reginald Henry Phillimore, Historical Records of the Survey of India, 5 vols. Dehra Dun, Survey of India (1945–1968)
50 – Aryabhata writes the "Aryabhata-Siddhanta", which first introduces the trigonometric functions and methods of calculating their approximate numerical values. It defines the concepts of sine and cosine , and also contains the earliest tables of sine and cosine values (in 3.75-degree intervals from 0 to 90 degrees)
The 18th-century Swiss mathematician Leonhard Euler (1707–1783) is among the most prolific and successful mathematicians in the history of the field.His seminal work had a profound impact in numerous areas of mathematics and he is widely credited for introducing and popularizing modern notation and terminology.
Hipparchus (/ h ɪ ˈ p ɑːr k ə s /; Greek: Ἵππαρχος, Hípparkhos; c. 190 – c. 120 BC) was a Greek astronomer, geographer, and mathematician.He is considered the founder of trigonometry, [1] but is most famous for his incidental discovery of the precession of the equinoxes. [2]
They are significant in that they contain the first instance of trigonometric relations based on the half-chord, as is the case in modern trigonometry, rather than the full chord, as was the case in Ptolemaic trigonometry. [137] Through a series of translation errors, the words "sine" and "cosine" derive from the Sanskrit "jiya" and "kojiya". [137]
Trigonometry – branch of mathematics that studies the relationships between the sides and the angles in triangles. Trigonometry defines the trigonometric functions , which describe those relationships and have applicability to cyclical phenomena, such as waves .
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