question_answer

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

A)  \[\frac{\pi }{6}\]                                   

B)  \[{{\sin }^{-1}}\left( \frac{\sqrt{3}}{4} \right)\]

C)  \[{{\sin }^{-1}}\left( \frac{1}{\sqrt{3}} \right)\]

D)                          \[\frac{\pi }{3}\]

E)  None of these