Answer
$k\pi+\frac{5\pi}{6}$,
$\frac{5\pi}{6}, \frac{11\pi}{6}, \frac{17\pi}{6}, \frac{23\pi}{6}, \frac{29\pi}{6}, \frac{35\pi}{6}$
Work Step by Step
Using trigonometric identities, we have
$tan(\theta)=-\frac{\sqrt 3}{3} \longrightarrow \theta=k\pi+\frac{5\pi}{6}$.
Six examples $\theta=\frac{5\pi}{6}, \frac{11\pi}{6}, \frac{17\pi}{6}, \frac{23\pi}{6}, \frac{29\pi}{6}, \frac{35\pi}{6}$
