Answer
$\frac{2\pi}{3},\frac{5\pi}{3}$
Work Step by Step
$\sqrt 3 cot\theta+1=0$,
$cot\theta=-\frac{\sqrt 3}{3}$
$\theta=k\pi+\frac{2\pi}{3}$ (k is an integer),
$\theta=\frac{2\pi}{3},\frac{5\pi}{3}$ in $[0,2\pi)$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 6 - Analytic Trigonometry - Section 6.3 Trigonometric Equations - 6.3 Assess Your Understanding - Page 488: 26
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