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Let f'(sinx)lt0andf''(sinx)gt0AAx in(0,(...

Let `f'(sinx)lt0andf''(sinx)gt0AAx in(0,(pi)/(2))andg(x)=f(sinx)+f(cosx)`.
Which of the following is true ?

A

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

B

g(x) increasing in `(0,(pi)/(4))`

C

g(x) is monotonically increasing

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
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