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If n is a positive integer, then the val...

If n is a positive integer, then the value of `(cos alpha cos 2 alpha cos 2 ^(2) alpha ….cos 2 ^(n-1)alpha)` is-

A

`(sin 2 n alpha)/(2 ^(n) sin alpha)`

B

`(sin 2^(n) alpha)/(2 ^(n) sin 2 ^(n-1)alpha)`

C

`(sin 2 ^(n) alpha)/(2^(n) sin alpha)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

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