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If A=(cos12^(@)-cos36^(@))(sin96^(@)+sin...

If `A=(cos12^(@)-cos36^(@))(sin96^(@)+sin24^(@))`
and `B=(sin60^(@)-sin12^(@))(cos48^(@)-cos72^(@))`, then what is `(A)/(B)` equal to ?

A

`-1`

B

0

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Given `A=(cos12^(@)-cos36^(@))(sin96^(@)+sin24^(@))`
`B=(sin60^(@)-sin12^(@))(cos48^(@)-cos72^(@))`
`(A)/(B)=([2sin24^(@)sin12^(@)][2sin60^(@)cos36^(@)])/([2cos36^(@)sin24^(@)][2sin60^(@)sin12^(@)])`
`rArr(A)/(B)=1`
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