" Example "9" Prove that the function given by "f(x)=cos x" is "

Prove that the function f given by f(x) = log | cos x|" is decreasing on "(0,pi/2)" and increasing on "((3pi)/2,2pi) .

Prove that the function f given by f(x)=log cos x is strictly decreasing on (0, (pi)/(2)) .

Prove that the function f given by f (x) = log (cos x) is strictly decreasing on (0,pi/2)

Prove that the function given by f(x) = cos x is (c) neither increasing nor decreasing in (0 , 2pi) .

Prove that the function given by f(x) = cos x is (a) strictly decreasing in (0, pi) .

Prove that the function given by f(x) = cos x is (b) strictly increasing in (pi,2 pi) .

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) ..

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) . .

Prove that the function f given by f (x) = log cos x is decreasing on (0,(pi)/(2)) and increasing on ((3pi)/(2) ,2pi) .