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A value of \( \theta \) for which \( \frac{2+3 i \sin \theta}{1-2 i \sin \theta} \) is purely imaginary, is
\( \mathrm{P} \)
(1) \( \sin ^{-1}\left(\frac{1}{\sqrt{3}}\right) \)
(2) \( \frac{\pi}{3} \)
(3) \( \frac{\pi}{6} \)
(4) \( \sin ^{-1}\left(\frac{\sqrt{3}}{4}\right) \)
W
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