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

Prove that the function f given by f(x)=log sin,xf(x)=log sinquad x is strictly increasing on (0,(pi)/(2)) and strictly decreasing on ((pi)/(2),pi)

f(x) = sin x is a strictly increasing in (0, pi/2)

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

Prove that the function f given by f(x) = logsin x is strictly increasing on (0,pi/2) and strictly decreasing 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 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(sin x) is strictly increasing on (0,pi/2) strictly decreasing on (pi/2 , pi)

Prove that the function f(x)=logsinx is strictly increasing in (0,pi/2) and strictly decreasing in (pi/2,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).

Prove that the function log sin x is strictly increasing (0,pi/2) and strictly decreasing on (pi/2,pi)