Prove that the function f given by f" "(...

Prove that the function f given by `f" "(x)" "=" "log" "cos" "x` is strictly decreasing on `(0,pi/2)` and strictly increasing on `(pi/2,pi)` prove that the function f given by ` f(x) = log sin x ` is strictly decreasing on `( 0 , pi/2)` and strictly increasing on `( pi/2 , pi) `. .

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