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: 94

Answer

$\frac{\pi}{6}, \frac{5\pi}{6}, \frac{13\pi}{6}, \frac{17\pi}{6}$

Work Step by Step

Let $sin(x)=\frac{1}{2}$, we can find general forms of the solutions as $x=2k\pi+\frac{\pi}{6}$ or $x=2k\pi+\frac{5\pi}{6}$ where $k$ is an integer. For $k=0,1$, we have $x=\frac{\pi}{6}, \frac{5\pi}{6}, \frac{13\pi}{6}, \frac{17\pi}{6}$
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