Answer
$k\pi$, $1.23+2k\pi$, $5.05+2k\pi$
Work Step by Step
$3\sin 2\theta-2\sin \theta=0$
$6\sin \theta\cos \theta-2\sin \theta=0$
$2\sin \theta(3\cos \theta-1)=0$
If $2\sin \theta=0$, then $\theta=k\pi$.
If $3\cos \theta-1=0$, then $3\cos \theta=1$, and $\cos \theta=1/3$. Then $\theta=1.23+2k\pi$ or $\theta=5.05+2k\pi$.