Prove that function given by f(x)=sin x is
(i) Strictly increasing in `(-(pi)/(2),(pi)/(2))`
(ii) Strictly decreasing in `((pi)/(2),(3pi)/(2))`

Show that the function given by f(x) = sin x is (b) strictly decreasing in ((pi)/2, pi) .

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

Show that the function given by f(x) = sin x is (a) strictly increasing in (0, (pi)/2) .

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

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

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 f given by f(x)=log cos x is strictly decreasing on (0, (pi)/(2)) .

Show that the function given by f(x)=sinx is strictly 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))