Pythagorean Trigonometric Identity - Statement of The Identity

Statement of The Identity

See also: Trigonometric functions and List of trigonometric identities

Mathematically, the Pythagorean identity states:

(Note that sin2 θ means (sin θ)2). This relation between sine and cosine is sometimes called the fundamental Pythagorean trigonometric identity.

If the length of the hypotenuse of a right triangle is 1, then the lengths of the legs are the sine and cosine of one of the angles. Therefore, this trigonometric identity follows from the Pythagorean theorem.

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