Answer
$k\pi$, $0.72+2k\pi$, $5.56+2k\pi$
Work Step by Step
$2\sin 2\theta-3\sin\theta=0$
$4\sin \theta\cos \theta-3\sin \theta=0$
$\sin \theta(4\cos \theta-3)=0$
If $\sin \theta=0$, then $\theta=k\pi$.
If $4\cos \theta-3=0$, then $4\cos \theta=3$, and $\cos \theta=3/4$. Then $\theta=0.72+2k\pi$ or $\theta=5.56+2k\pi$.
