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: 39



Work Step by Step

$3~tan^2(\frac{x}{3})-1=0$ $tan^2(\frac{x}{3})=\frac{1}{3}$ $tan(\frac{x}{3})=±\frac{1}{\sqrt 3}=±\frac{\sqrt 3}{3}$ If $0\leq x\lt2π$, then $0\leq\frac{x}{3}\lt\frac{2\pi}{3}$ $\frac{x}{3}=\frac{\pi}{6}$ $x=\frac{\pi}{2}$
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