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Let z = cos theta + isin theta. Then the...

Let `z = cos theta + isin theta`. 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^@)`

Text Solution

Verified by Experts

The correct Answer is:
D
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