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sin1 2^(@)sin4 8^(@)sin5 4^(@)=...

`sin1 2^(@)sin4 8^(@)sin5 4^(@)=`

A

`(1)/(16)`

B

`(1)/(32)`

C

`(1)/(8)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
`sin12^(@)sin48^(@)sin54^(@)`
`=(1)/(2){cos36^(@)-cos60^(@)}cos36^(@)`
`=(1)/(2)[(sqrt(5)+1)/(4)-(1)/(2)][(sqrt(5)+1)/(4)]`
`=(1)/(2)[(sqrt(5)-1)/(4)][(sqrt(5)+1)/(4)]`
`=(5-1)/(32)=(4)/(32)=(1)/(8)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-FACTORIZATION FORMULAE -EXERCISE 2
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