Answer
$\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}$
Work Step by Step
$tan^2\theta=\frac{1}{3}$,
$tan\theta=\pm\frac{\sqrt 3}{3}$,
$\theta=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}$ in $[0,2\pi)$.
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