The function \[f(x)={{\tan }^{-1}}(\sin x+\cos x)\] is an increasing function in

\[\left( 0,\frac{\pi }{2} \right)\]

\[\left( \frac{\pi }{4},\frac{\pi }{2} \right)\]

\[\left( -\frac{\pi }{2},\frac{\pi }{4} \right)\]

\[\left( -\frac{\pi }{2},\frac{\pi }{2} \right)\]

The function \[f(x)={{\tan }^{-1}}(\sin x+\cos x)\] is an increasing f

1.	The function \[f(x)={{\tan }^{-1}}(\sin x+\cos x)\] is an increasing function in
A.	\[\left( \frac{\pi }{4},\frac{\pi }{2} \right)\]
B.	\[\left( -\frac{\pi }{2},\frac{\pi }{4} \right)\]
C.	\[\left( 0,\frac{\pi }{2} \right)\]
D.	\[\left( -\frac{\pi }{2},\frac{\pi }{2} \right)\]
Answer» C. \[\left( 0,\frac{\pi }{2} \right)\]

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The function \[f(x)={{\tan }^{-1}}(\sin x+\cos x)\] is an increasing function in

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