Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 7 - Section 7.5 - More Trigonometric Equations - 7.5 Exercises - Page 574: 8

Answer

$k\pi$, $1.23+2k\pi$, $5.05+2k\pi$

Work Step by Step

$3\sin 2\theta-2\sin \theta=0$ $6\sin \theta\cos \theta-2\sin \theta=0$ $2\sin \theta(3\cos \theta-1)=0$ If $2\sin \theta=0$, then $\theta=k\pi$. If $3\cos \theta-1=0$, then $3\cos \theta=1$, and $\cos \theta=1/3$. Then $\theta=1.23+2k\pi$ or $\theta=5.05+2k\pi$.
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