Answer
$ 30^{\circ}$ and $150^{\circ}$
Work Step by Step
The value of $\sin \theta$ is positive, so $\theta$ may lie in either quadrant I or II.
We know that $\sin 30^{\circ}=\frac{1}{2}$.
$30^{\circ}$ is in the first quadrant.
$\theta$ in the second quadrant can be found using the identity
$\sin x=\sin (180^{\circ}-x)$
$\implies \sin 30^{\circ}= \sin (180^{\circ}-30^{\circ})=\sin 150^{\circ}$
The values of $\theta$ are $ 30^{\circ}$ and $150^{\circ}$.
