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Prove that cos theta* cos 2theta* cos2^...

Prove that `cos theta* cos 2theta* cos2^(2)theta * cos2^(3)theta x... cos 2^(n-1) theta = 1/2^(n)` , when `theta = pi/(2^(n)+1)`.

A

`(cos2^(n)theta)/(2^(n)sintheta)`

B

`(sin2^(n)theta)/(2^(n)costheta)`

C

`(cos2^(n)theta)/(2^(n)costheta)`

D

`(sin2^(n)theta)/(2^(n)sin theta)`

Text Solution

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The correct Answer is:
D
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