Prove that the function \( f \) given by \( f(x)=\log |\cos x| \) i...

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Prove that the function \( f \) given by \( f(x)=\log |\cos x| \) is decreasing on \( \left(0, \frac{\pi}{2}\right) \) and
\( \mathrm{P} \)
W increasing on \( \left(\frac{3 \pi}{2}, 2 \pi\right) \).
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