A value of

Question:

A value of $\theta$ for which $\frac{2+3 i \sin \theta}{1-2 i \sin \theta}$ is purely imaginary, is :

  1. $\sin ^{-1}\left(\frac{1}{\sqrt{3}}\right)$

  2. $\frac{\pi}{3}$

  3. $\frac{\pi}{6}$

  4. $\sin ^{-1}\left(\frac{\sqrt{3}}{4}\right)$


Correct Option: 1

Solution:

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