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