Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - 7.6 Trigonometric Equations - 7.6 Exercises - Page 720: 17


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

Work Step by Step

$2\sin x+3=4$ $2\sin x=1$ $\sin x=\frac{1}{2}$ Referring to the unit circle and remembering that sine is positive in Quadrants I and II, we conclude that the only solutions in $[0, 2\pi)$ are $\frac{\pi}{6}$ and $\frac{5\pi}{6}$.
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