Show that `f(x)=logsinx` is increasing on `(0,\ pi//2)` and decreasing on `(pi//2,\ pi)` .

Show that f(x)=log sin x is increasing on (0,pi/2) and decreasing on (pi/2,pi).

Show that f(x)=sinx is increasing on (0,\ pi//2) and decreasing on (pi//2,\ pi) and neither increasing nor decreasing in (0,\ pi) .

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

Show that f(x)=sin x is increasing on (0,pi/2) and decreasing on (pi/2,pi) and neither increasing nor decreasing in (0,pi)

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

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

Show that f(x) = (x)/(sinx) is increasing on [0, (pi)/(2)]

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

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