Sum-to-Product Formulas

Proposition (Sum-to-Product Formulas) The following formulas hold for all angles and where the functions are defined.  

Example (Sum-to-Product Formulas) Find the exact value of

    Solution. We have,












Example (Sum-to-Product Formulas) Prove the trigonometric identity:

    Solution. We have,










Example (Sum-to-Product Formulas) Prove the trigonometric identity:

    Solution. We have,










Example (Sum-to-Product Formulas) Solve the equation

    Solution. Let be any integers. We have,

















    
Example (Sum-to-Product Formulas) Solve the equation

    Solution. We have,
    

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Sum To Product Formulas
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
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