Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX D - Trigonometry - D Exercises - Page A 33: 69


$\frac{ \pi}{2},\frac{3 \pi}{2}$,$\frac{\pi}{6},\frac{5 \pi}{6}$

Work Step by Step

Need to find the range for $x$ for the equation $sin2x=cosx$ $2sinxcosx-cosx=0$ $cosx(2sinx-1)=0$ Here, $cosx=0$ gives $x =\frac{ \pi}{2},\frac{3 \pi}{2}$ and $2sinx-1=0$ gives $sinx=\frac{1}{2}$ Hence, x = $\frac{ \pi}{2},\frac{3 \pi}{2}$,$\frac{\pi}{6},\frac{5 \pi}{6}$
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