Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.4 Graphs of the Sine and Cosine Functions - 6.4 Assess Your Understanding - Page 411: 95

Answer

$\pm\frac{\pi}{3}, \frac{5\pi}{3}, \frac{7\pi}{3} $

Work Step by Step

Let $cos(x)=\frac{1}{2}$, we can find general forms of the solutions as $x=2k\pi\pm\frac{\pi}{3}$ where $k$ is an integer. For $k=0,1$, we have $x=\pm\frac{\pi}{3}, \frac{5\pi}{3}, \frac{7\pi}{3} $
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