Let z=costheta+isintheta. Then the value...

Let `z=costheta+isintheta`. Then the value of `sum_(m=1)^15 Im(z^(2m-1))` at `theta=2^@` is:

A

`1/(sin2^(@))`

B

`1/(3sin2^(@))`

C

`1/(2sin2^(@))`

D

`1/(4sin2^(@))`

Verified by Experts

The correct Answer is:

D

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