Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix D - Trigonometry - D Exercises: 66

Answer

$\frac{\pi}{3},\frac{2\pi}{3},\frac{4 \pi}{3}\frac{5 \pi}{3}$

Work Step by Step

Need to find the range for $x$ for the equation $3cot^{2}x=1$ $cot^{2}x=\frac{1}{3}$ or $tan^{2}x=3$ gives $tanx=±\sqrt 3$ Since, $tanx>0$ on first and third quadrant and $tanx<0$ on second and fourth quadrant, thus, x must lie on $\frac{\pi}{3},\frac{2\pi}{3},\frac{4 \pi}{3}\frac{5 \pi}{3}$
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