The function \( f(x)=1+x(\sin x)[\cos x], 0x \leq \pi / 2 \) (a) Is continuous on \( (0, \pi / 2...

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The function \( f(x)=1+x(\sin x)[\cos x], 0x \leq \pi / 2 \)
(a) Is continuous on \( (0, \pi / 2) \)
(b) Is strictly decreasing in \( (0, \pi / 2) \)
(c) Is strictly increasing in \( (0, \pi / 2) \)
(d) Has global maximum value 2
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