MathematicsMedium175×since 2002Q2704The function f(x)=tan−1(sinx+cosx)f\left( x \right) = {\tan ^{ - 1}}\left( {\sin x + \cos x} \right)f(x)=tan−1(sinx+cosx) is an incresing function inA(0,π2)\left( {0,{\pi \over 2}} \right)(0,2π)B(−π2,π2)\left( { - {\pi \over 2},{\pi \over 2}} \right)(−2π,2π)C(π4,π2)\left( { {\pi \over 4},{\pi \over 2}} \right)(4π,2π)D(−π2,π4)\left( { - {\pi \over 2},{\pi \over 4}} \right)(−2π,4π)Check answerSkip