The function f(x)=tan^(-1)(sinx+cosx) is...

The function `f(x)=tan^(-1)(sinx+cosx)` is an increasing function in

A

`((pi)/4,(pi)/2)`

B

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

C

`(0,(pi)/2)`

D

`(-(pi)/2,(pi)/2)`

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The correct Answer is:

B

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