Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 5 - Review Exercises - Page 708: 53

Answer

$k\pi+\frac{\pi}{6}$

Work Step by Step

Step 1. Given the equation $\sqrt 3tan(x)-1=0$ or $tan(x)=\frac{\sqrt 3}{3}$, we have to find the solutions in $[0,\pi)$ as $x=\frac{\pi}{6}$ Step 2. Consider that the function has a period of $\pi$; we can express the solutions as $x=k\pi+\frac{\pi}{6}$ where $k$ is an integer.
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