# Chapter 5 - Section 5.4 - Product-to-Sum and Sum-to-Product Formulas - Concept and Vocabulary Check - Page 688: 1

The formula $\sin \alpha \sin \beta =\frac{1}{2}\left[ \cos \left( \alpha -\beta \right)-\cos \left( \alpha +\beta \right) \right]$ can be used to change the product of two sines into the difference of two cosines expressions.

#### Work Step by Step

$\sin \alpha \sin \beta =\frac{1}{2}\left[ \cos \left( \alpha -\beta \right)-\cos \left( \alpha +\beta \right) \right]$ Thus, the above identity or product sum formula reflects that the product of two sines is equal to the half of the difference between the two cosines expression.

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