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

Let `z=costheta+isintheta`. Then the value of `sum_(m->1-15)Img(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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ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
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  13. Let alpha and beta be real numbers and z be a complex number. If z^(2...

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