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

Answer»

`-1`
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Solution :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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