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)` .

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

f(x) = cos x is neither increasing nor decreasing in (0,2pi)

Show that f(x)=cosx is a decreasing function on (0,\ pi) , increasing in (pi,\ 0) and neither increasing nor decreasing in (pi,\ pi) .

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

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

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

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

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