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)` .

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

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)

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

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