Question: A value of $\theta$ for which $\frac{2+3 i \sin \theta}{1-2 i \sin \theta}$ is purely imaginary, is :
$\sin ^{-1}\left(\frac{1}{\sqrt{3}}\right)$
$\frac{\pi}{3}$
$\frac{\pi}{6}$
$\sin ^{-1}\left(\frac{\sqrt{3}}{4}\right)$
Correct Option: 1
Solution:
