Answer
$2k\pi+\frac{\pi}{4}, 2k\pi+\frac{3\pi}{4}$.
$\frac{\pi}{4}, \frac{3\pi}{4},\frac{9\pi}{4}, \frac{11\pi}{4},\frac{17\pi}{4}, \frac{19\pi}{4}$
Work Step by Step
Using trigonometric identities, we have
$sin(\theta)=\frac{\sqrt 2}{2} \longrightarrow \theta=2k\pi+\frac{\pi}{4}, 2k\pi+\frac{3\pi}{4}$.
Six examples $\theta=\frac{\pi}{4}, \frac{3\pi}{4},\frac{9\pi}{4}, \frac{11\pi}{4},\frac{17\pi}{4}, \frac{19\pi}{4}$
