The Pythagorean trigonometric identity, often called simply the Pythagorean identity, expresses the Pythagorean theorem in the language of trigonometric functions. It states that for any angle theta, the square of its sine plus the square of its cosine always equals 1. Along with the formulas for the sine and cosine of a sum of two angles, it is one of the most basic relationships connecting the sine and cosine functions, and it underlies many further identities and calculations throughout trigonometry and calculus.
Facts
Classification
Statement Form StatementFor any angle theta, sin^2(theta) + cos^2(theta) = 1. 1 Connections
Has Statement Form
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
Sources
1. Pythagorean trigonometric identity (Wikipedia)
IntroductionQuote, Introduction
The Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric functions.
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