# Trigonometry

## Sum and differences identities

These sum and differences identities are very useful whenever expressions involving trigonometric functions need to be simplified.

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## Product to sum identities

These product to sum identities are very useful whenever expressions involving trigonometric functions need to be simplified.

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## Sum to product identities

These sum to product identities are very useful whenever expressions involving trigonometric functions need to be simplified.

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## Half angle identities

These half angle identities are very useful whenever expressions involving trigonometric functions need to be simplified.

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## Double angle identities

These double angle identities are very useful whenever expressions involving trigonometric functions need to be simplified.

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## Pythagorean identities

These Pythagorean identities are very useful whenever expressions involving trigonometric functions need to be simplified.

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## Quotient identities

These quotient identities are very useful whenever expressions involving trigonometric functions need to be simplified.

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## Reduction formulas

The trigonometric reduction formulas help us to reduce big angles in common sines, cosines, tangents and cotangents functions.

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## Exact values of trigonometric functions

Table of trigonometric functions (sine, cosine, tangent, cotangent) exact values. The range of degrees is $[0°,90°]$

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## Signs of trigonometric functions

Table of trigonometric functions (sine, cosine, tangent, cotangent, secant and cosecant) signs in quadrants.

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