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Define f(x) = (1)/(2)[|sinx|+sin x], 0 l...

Define `f(x) = (1)/(2)[|sinx|+sin x], 0 lt x le 2pi`. Then f is

A

increasing in `((pi)/(2), (3pi)/(2))`

B

decreasing in `(0, (pi)/(2))` and increasing in `((pi)/(2), pi)`

C

increasing in `(0, (pi)/(2))` and decreasing in `((pi)/(2), (pi)`

D

increasing in `(0, (pi)/(4))` and decreasing in `((pi)/(4), pi)`

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The correct Answer is:
C
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