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Show that f(x)=sinx is increasing on (0,...

Show that `f(x)=sinx` is increasing on `(0,\ pi//2)` and decreasing on `(pi//2,\ pi)` and neither increasing nor decreasing in `(0,\ pi)` .

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The given function given by `f(x)=sinx`
`f'(x)=cosx`

(a) Since for each `x in (0, pi/2), cosx>0=>f'(x)>0`
Hence, `f` is strictly increasing in `(0, pi/2)` ...
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