Prove that the function f given by `f(x)" "=" "log" "s in" "x` `f(x)" "=" "log" "s in" "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)

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) . .

Show that 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 cos x is strictly increasing on (-pi/2,0) and strictly decreasing on (0,pi/2)

show that the function f(x)=sin x is strictly increasing in (0,(pi)/(2)) strictly decreasing in ((pi)/(2),pi)

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

Show that the function given by f (x) = sinx is (a) strictly increasing in (0,pi/2) (b) strictly decreasing in (pi/2,pi) (c) neither increasing nor decreasing in (0, pi)

Show that the fucntion given by f(x) = sinx is : (a) strictly increasing in (0,(pi)/(2)) (b) strictly decreasing in ((pi)/(2),pi) (c ) neither increasing nor decreasing in (0, pi) .

Prove that the function given by f(x)=cos xf(x)=cos x is (a) strictly decreasing in (0,pi) (b) strictly increasing in and (c) neither increasing nor decreasing in and (c) neither increasing nor decreasing in (0,2 pi)