Prove that the function f given by f(x) = log |cos x| is decreasing on (0, π/2) and increasing on

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prove that the function f given by f(x)=log(cosx) is decreasing on (0.pi/2) and strictly increasing. prove that the function f given by f(x)=log(cosx) is decreasing on (0.pi/2) and strictly increasing.
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