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Sums and Differences of Functions

Sums and Differences of Functions

Sums and Differences of Functions

Sums and Differences of Functions

Sums and Differences of Functions

Sums and Differences of Functions

The following formulas relate the sum of trigonometric functions of different angles to products of multiple angle functions. These identities are also useful for simplifying expressions.

sin(α) + sin(β) = 2 sincos    

cos(α) + cos(β) = 2 coscos    

sin(α) - sin(β) = 2 cossin    

cos(α) - cos(β) = - 2 sinsin