Algebra and Trigonometry 10th Edition

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

Chapter 7 - Review Exercises - Page 552: 41


Solutions: $x=0$ $x=\frac{\pi}{8}$ $x=\frac{3\pi}{8}$ $x=\frac{5\pi}{8}$ $x=\frac{7\pi}{8}$ $x=\frac{9\pi}{8}$ $x=\frac{11\pi}{8}$ $x=\frac{13\pi}{8}$ $x=\frac{15\pi}{8}$

Work Step by Step

$cos~4x(cos~x-1)=0$ $cos~4x=0$ or $cos~x=1$ $cos~4x=0$ $4x=\frac{\pi}{2}$ $x=\frac{\pi}{8}$ $4x=\frac{3\pi}{2}$ $x=\frac{3\pi}{8}$ $4x=\frac{5\pi}{2}$ $x=\frac{5\pi}{8}$ $4x=\frac{7\pi}{2}$ $x=\frac{7\pi}{8}$ $4x=\frac{9\pi}{2}$ $x=\frac{9\pi}{8}$ $4x=\frac{11\pi}{2}$ $x=\frac{11\pi}{8}$ $4x=\frac{13\pi}{2}$ $x=\frac{13\pi}{8}$ $4x=\frac{15\pi}{2}$ $x=\frac{15\pi}{8}$ $cos~x=1$ $x=0$
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