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The value of sin^(-1){cos(4095^(@))} is...

The value of `sin^(-1){cos(4095^(@))}` is equal to

A

`-(pi)/(3)`

B

`(pi)/(6)`

C

`-(pi)/(4)`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
`cos(4095^(@)=cos(45xx90^(@)+45^(@))`
`=-sin45^(@)=-"sin"(pi)/(4)=sin(-(pi)/(4))`
`therefore=sin^(-1){cos(4095^(@))}`
`=sin^(-1)sin(-(pi)/(4))=-(pi)/(4)`
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