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

Question

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

${\sin ^{ - 1}}\left( {{1 \over {\sqrt 3 }}} \right)\,$

${\pi \over 3}$

${\pi \over 6}$

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