Maximum value of function f(x)=(sin^(-1)...

Maximum value of function `f(x)=(sin^(-1)(sinx)^(2)-sin^(-1)(sinx)` is:

A

`(pi)/4(pi+2)`

B

`(pi)/4(pi-2)`

C

`(pi)/4`

D

none of these

Verified by Experts

The correct Answer is:

A

a
`(sin^(-1) sin x-1//2)^(2)-1//4`

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