Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 5 - Section 5.4 - Product-to-Sum and Sum-to-Product Formulas - Concept and Vocabulary Check - Page 688: 6


The formula $\sin \alpha -\sin \beta =2\sin \frac{\alpha -\beta }{2}\cos \frac{\alpha +\beta }{2}$ can be used to change the difference between two sines into the product of sines and cosines expressions.

Work Step by Step

$\sin \alpha -\sin \beta =2\sin \frac{\alpha -\beta }{2}\cos \frac{\alpha +\beta }{2}$ Thus, the above identity sum to product formula reflects that the difference of two sines is equal to the twice of the product of the sines and cosines expression.
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