Answer
$\theta=2k\pi+\frac{3\pi}{2}$ (k is an integer),
$\theta=\frac{3\pi}{2},\frac{7\pi}{2},\frac{11\pi}{2},\frac{15\pi}{2},\frac{19\pi}{2},\frac{23\pi}{2}$.
Work Step by Step
$tan(\frac{\theta}{2})=-1$,
$\frac{\theta}{2}=k\pi+\frac{3\pi}{4}$,
$\theta=2k\pi+\frac{3\pi}{2}$ (k is an integer),
Six examples: $\theta=\frac{3\pi}{2},\frac{7\pi}{2},\frac{11\pi}{2},\frac{15\pi}{2},\frac{19\pi}{2},\frac{23\pi}{2}$.
