Prove that the function given by f(x) = cos x is(a) decreasing in (0, π) (b) increasing

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#class12
#applicationofderivatives
#Provethatthefunctiongivenbyfxisequaltocosxisadecreasingin0pibincreasinginpi2piandcneitherincreasingnordecreasingin02pi
Prove that the function given by f(x) = cos x is
(a) decreasing in (0, π)
(b) increasing in (π, 2π), and
(c) neither increasing nor decreasing in (0, 2π).
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