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If n=1,2,3,......., then cosalphacos2al...

If `n=1,2,3,.......,` then `cosalphacos2alphacos4alpha.......cos2^(n-1)alpha` is equal to

A

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

B

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

C

`(sin 4 ^(n-1) alpha)/(4 ^(n-1) sin alpha)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -COMPETITIVE THINKING
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