[" 6.Show that the function "f(x)=sin x" is "],[" (i) "quad " Strictly increasing on "(0,(pi)/(2))],[" (ii) "quad " Strictly decreasing on "(0,(pi)/(2))]

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

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))

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))

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)

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

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