Answer
$\frac{2\pi}{3},\frac{5\pi}{3}$
Work Step by Step
1. $tan\theta=-\sqrt 3$, we have $\theta=k\pi+\frac{2\pi}{3}$
2. Within $[0,2\pi)$, we have $\theta=\frac{2\pi}{3},\frac{5\pi}{3}$
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.