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sin 12^(@) sin 48^(@) sin 54^(@) is equa...

`sin 12^(@) sin 48^(@) sin 54^(@)` is equal to

A

`(1)/(16)`

B

`(1)/(32)`

C

`(1)/(8)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
`sin12^(@)sin 48^(@)sin54^(@)`
`=(1)/(2)[cos36^(@)-cos60^(@)]cos36^(@)=(1)/(2)[(sqrt5+1)/(4)-(1)/(2)][(sqrt5+1)/(4)]=(1)/(8)`
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