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

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(x)=logsinx is strictly increasing in (0,pi/2) and strictly decreasing in (pi/2,pi)

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

Show that the function given by f(x)=sinx is strictly increasing on (0,pi/2)

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

Show that the function given by f(x)=sin x 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 f(x)=cosx is strictly increasing in (pi,\ 2pi)

Prove that the function f(x)=cos x is strictly increasing in (pi,2 pi)

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)

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