Let f'(sinx)lt0andf''(sinx)gt0,AAx in (0...

Let `f'(sinx)lt0andf''(sinx)gt0,AAx in (0,(pi)/(2)) and g(x)=f(sinx)+f(cosx),` then find the interval in which g(x) is increasing and decreasing.

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The correct Answer is:

g(x) is decreasing in `(0, pi/4)` and increasing in `(pi/4, pi/2)`

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