Answer
$\frac{5\pi}{4}$
Work Step by Step
$cot(\frac{2\theta}{3})=-\sqrt 3$,
$\frac{2\theta}{3}=k\pi+\frac{5\pi}{6}$
$\theta=\frac{3k\pi}{2}+\frac{5\pi}{4}$ (k is an integer),
$\theta=\frac{5\pi}{4}$ 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: 22
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
