If $3 \sin 2 \theta=2 \sin 3 \theta$ and $0<\theta<\pi$, then the value of $\sin \theta$ is equal to

The possible values of $\theta \in(0, \pi)$ such that $\sin \theta+\sin (4 \theta)+\sin (7 \theta)=0$ are

If $\tan 3 \theta=\cot \theta$, then $\theta=$

The general solution of the equation $\sqrt{3} \cos \theta+\sin \theta=\sqrt{2}$ is