Trigonometry 𓆩⚪𓆪

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Trigonometry 𓆩⚪𓆪｜Definition｜1st｜20251119205401-00-⌔

Trigonometry - Wikipedia

Trigonometry

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. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.² The Greeks focused on the calculation of chords, while mathematicians in India created the earliest-known tables of values for trigonometric ratios (also called trigonometric functions) such as sine.³

Throughout history, trigonometry has been applied in areas such as geodesy, surveying, celestial mechanics, and navigation.⁴

Trigonometry is known for its many identities. These trigonometric identities⁵ are commonly used for rewriting trigonometrical expressions with the aim to simplify an expression, to find a more useful form of an expression, or to solve an equation.⁶

Printed 2026-06-28.

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Footnotes

1. Harper, Douglas. “trigonometry”. Online Etymology Dictionary. Retrieved 2022-03-18. ↩

2. R. Nagel (ed.), Encyclopedia of Science, 2nd Ed., The Gale Group (2002) ↩

3. Boyer (1991), p.. ↩

4. Charles William Hackley (1853). A treatise on trigonometry, plane and spherical: with its application to navigation and surveying, nautical and practical astronomy and geodesy, with logarithmic, trigonometrical, and nautical tables. G. P. Putnam. ↩

5. Mary Jane Sterling (24 February 2014). Trigonometry For Dummies. John Wiley & Sons. p. 185. ISBN 978-1-118-82741-3. ↩

6. Ron Larson; Robert P. Hostetler (10 March 2006). Trigonometry. Cengage Learning. p. 230. ISBN 0-618-64332-X. ↩

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