Three identities of trigonometry

There are three primary trigonometric ratios sin, cos, and tan. The three other trigonometric ratios sec, cosec, and cot in trigonometry are the reciprocals of sin, cos, and tan respectively. How are these trigonometric ratios (sin, cos, tan, sec, cosec, and cot) connected with each other?

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Trigonometric Identities are useful whenever trigonometric functions are involved in an expression or an equation. Trigonometric Identities are true for every value of variables occurring on both sides of an equation. Geometrically, these identities involve certain trigonometric functions (such as sine, cosine, tangent) of one or more angles.

Sine, cosine and tangent are the primary trigonometry functions whereas cotangent, secant and cosecant are the other three functions. The trigonometric identities are based on all the six trig functions. Check Trigonometry Formulas to get formulas related to trigonometry.

Table of Contents:

Definition

List of Trig Functions

Reciprocal Identities

Pythagorean Identities

Ratio Identities

Opposite Angle Identities

Complementary Angles Identities

Supplementary Angles Identities

Sum and Difference of Angles Identities

Double Angle Identities

Half Angle Identities

Product-Sum Identities

Trigonometric identities of Products

Proofs

Triangle Identities

Solved Examples

Practice Questions

FAQs

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