Answer
$2k\pi+\frac{\pi}{6}, 2k\pi+\frac{5\pi}{6}$,
$\frac{\pi}{6}, \frac{5\pi}{6}, \frac{13\pi}{6}, \frac{17\pi}{6}, \frac{25\pi}{6}, \frac{29\pi}{6}$
Work Step by Step
Using trigonometric identities, we have
$sin(\theta)=\frac{1}{2} \longrightarrow \theta=2k\pi+\frac{\pi}{6}, 2k\pi+\frac{5\pi}{6}$
Six examples $\theta=\frac{\pi}{6}, \frac{5\pi}{6}, \frac{13\pi}{6}, \frac{17\pi}{6}, \frac{25\pi}{6}, \frac{29\pi}{6}$
