If the function `f(x) = 2cotx+(2a+1) ln|cosec x| + (2-a)x` is strictly decreasing in `(0, pi/2)` then range of a is

f(x) = sin x is a strictly decreasing in (pi/2,pi)

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

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

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

Show that the function f(x) = log cos x is : (i) Strictly decreasing in ]0,pi/2[ (ii) Strictly increasing in ]pi/2, pi [

Prove that the function f(x)=cos^(2)x is strictly decreasing in (0,(pi)/(2))

Show that the function f(x) = cos^(2) 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) 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) . .