If the complex number (1-i sin theta)/(1...

If the complex number `(1-i sin theta)/(1+2 i sin theta)` is purely imaginary, then the principal value of `theta` is

A

`pm (pi)/(3)`

B

`pm (pi)/(6)`

C

`pm (3pi)/(4)`

D

`pm (pi)/(4)`

Verified by Experts

The correct Answer is:

D

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