Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 7 - Review Exercises - Page 552: 40


$x=0$ $x=\frac{\pi}{3}$ $x=\frac{2\pi}{3}$ $x=\pi$ $x=\frac{4\pi}{3}$ $x=\frac{5\pi}{3}$

Work Step by Step

$\sqrt 3~tan~3x=0$ $tan~3x=0$ $3x=n\pi$, where $n$ is an integer. If $0\leq x\lt2π$, then $0\leq3x\lt6\pi$ $3x=0$ $x=0$ or $3x=\pi$ $x=\frac{\pi}{3}$ or $3x=2\pi$ $x=\frac{2\pi}{3}$ or $3x=3\pi$ $x=\pi$ or $3x=4\pi$ $x=\frac{4\pi}{3}$ or $3x=5\pi$ $x=\frac{5\pi}{3}$
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