Answer
$\theta=2k\pi+\frac{\pi}{6}$ or $2k\pi+\frac{5\pi}{6}$ (k is an integer),
$\theta=\frac{\pi}{6},\frac{5\pi}{6},\frac{13\pi}{6},\frac{17\pi}{6},\frac{25\pi}{6},\frac{29\pi}{6} $.
Work Step by Step
$sin\theta=\frac{1}{2}$,
$\theta=2k\pi+\frac{\pi}{6}$ or $2k\pi+\frac{5\pi}{6}$ (k is an integer),
Six examples: $\theta=\frac{\pi}{6},\frac{5\pi}{6},\frac{13\pi}{6},\frac{17\pi}{6},\frac{25\pi}{6},\frac{29\pi}{6} $.
