Answer
$\theta=2k\pi+\frac{\pi}{4}$ or $2k\pi+\frac{3\pi}{4}$ (k is an integer),
$\theta=\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4}, \frac{7\pi}{4},\frac{9\pi}{4}, \frac{11\pi}{4}$.
Work Step by Step
$sin\theta=\frac{\sqrt 2}{2}$,
$\theta=2k\pi+\frac{\pi}{4}$ or $2k\pi+\frac{3\pi}{4}$ (k is an integer),
Six examples: $\theta=\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4}, \frac{7\pi}{4},\frac{9\pi}{4}, \frac{11\pi}{4}$.
