Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 7 - 7.5 - Multiple-Angle and Product-to-Sum Formulas - 7.5 Exercises - Page 548: 49

Answer

$sin~5θ~sin~3θ=\frac{1}{2}(cos~2θ-cos~8θ)$

Work Step by Step

$sin~5θ~sin~3θ=\frac{1}{2}[cos(5θ-3θ)-cos(5θ+3θ)]=\frac{1}{2}(cos~2θ-cos~8θ)$
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