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 549: 60


$sin\frac{5\pi}{4}-sin\frac{3\pi}{4}=-\sqrt 2$

Work Step by Step

$sin\frac{5\pi}{4}-sin\frac{3\pi}{4}=2~cos(\frac{\frac{5\pi}{4}+\frac{3\pi}{4}}{2})~sin(\frac{\frac{5\pi}{4}-\frac{3\pi}{4}}{2})=2~cos~\pi~sin\frac{\pi}{4}=2(-1)(\frac{\sqrt 2}{2})=-\sqrt 2$
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