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Letf'(sin x)lt0 and f''(sin x) gt0 foral...

Let`f'(sin x)lt0 and f''(sin x) gt0 forall x in (0,(pi)/(2))` and g(x) =f(sinx)+f(cosx)
which of the following is true?

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The correct Answer is:
increasing when ` x in ((pi)/(4),(pi)/(2))` decreasing when `x in (0,(pi)/(4))`
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