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

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The function \( f(x)=\tan ^{-1}(\sin x+\cos x \) ) is an increasing function in
\( \mathrm{P} \)
(1) \( \left(-\frac{\pi}{2}, \frac{\pi}{4}\right) \)
(2) \( \left(0, \frac{\pi}{2}\right) \)
W
(3) \( \left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \)
(4) \( \left(\frac{\pi}{4}, \frac{\pi}{2}\right) \)
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