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  Home : Math & Science : Math Study Guides : Trigonometry : More Trigonometric Identities : Sums and Differences of Functions
More Trigonometric Identities
  
 
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 sin
cos
   

cos(α) + cos(β) = 2 cos
cos
   

sin(α) - sin(β) = 2 cos
sin
   

cos(α) - cos(β) = - 2 sin
sin
   

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