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


( A ) $( -\pi/4, \pi/2)$
( B ) $(0, \pi/2)$
( C ) $( -\pi/2, \pi/4)$
( D ) $( -\pi/2, \pi/2)$

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