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

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

A

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

B

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

C

(c) `(0,pi/2)`

D

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

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The correct Answer is:

B

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