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Trigonometry (from Ancient Greek τρίγωνον (trígōnon) 'triangle' and μέτρον (métron) 'measure') [1] is a branch of mathematics concerned with relationships between angles and side lengths of triangles.
The term "trigonometry" was derived from Greek τρίγωνον trigōnon, "triangle" and μέτρον metron, "measure". [3]The modern words "sine" and "cosine" are derived from the Latin word sinus via mistranslation from Arabic (see Sine and cosine § Etymology).
James Tanton at Region One ESC. James Stuart Tanton (born August 1, 1966) is a mathematician and math educator. He is a winner of the Kidder Faculty Prize for his teaching at The St. Mark’s Math Institute, scholar at the Mathematical Association of America, [1] author of over ten books on mathematics, curriculum, and education, and creator of videos on mathematics on YouTube.
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)
This is a timeline of pure and applied mathematics history.It is divided here into three stages, corresponding to stages in the development of mathematical notation: a "rhetorical" stage in which calculations are described purely by words, a "syncopated" stage in which quantities and common algebraic operations are beginning to be represented by symbolic abbreviations, and finally a "symbolic ...
Glen Van Brummelen has published the first major history in English of the origins and early development of trigonometry, The Mathematics of the Heavens and the Earth: The Early History of Trigonometry. [4] His second book, Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry, concerns spherical trigonometry. [5] [6]
The video segments for the first 3 modules can be viewed for free at the Project Mathematics! website as streaming video. Selected video segments of the remaining 6 modules are also available for free viewing. In 2017, Caltech made the entirety of the series, as well as three SIGGRAPH demo videos, available on YouTube. [22]
As the historians L. Gauchet and Joseph Needham state, Guo Shoujing used spherical trigonometry in his calculations to improve the calendar system and Chinese astronomy. [33] [35] Chinese mathematics later incorporated the work and teaching of Arab missionaries with knowledge of spherical trigonometry who had come to China during the 13th century.