For all `theta` in [0,pi]`, show that `cos (sin theta) ge sin (cos theta)`.

For all theta in [ 0, pi//2] , show that cos ( sin theta) gt sin (cos theta) .

For all theta in [ 0, pi//2] , show that cos ( sin theta) gt sin (cos theta) .

For all theta in [ 0, pi//2] , show that cos ( sin theta) gt sin (cos theta) .

For all theta in [0, pi/2] show that cos(sin theta) gt sin(cos theta) .

For all values of theta in[0,(pi)/(2)], show that cos(sin theta)>=sin(cos theta), show that

If sin (pi cos theta) = cos (pi sin theta). Find sin (2 theta)

The number of values of theta in (0, pi] , such that (cos theta + i sin theta) (cos 3 theta + i sin 3 theta) (cos 5 theta + i sin 5 theta) (cos 7 theta + i sin 7 theta) (cos 9 theta + i sin 9 theta) = -1 is

If sin(pi cos theta)=cos(pi sin theta) , then sin 2theta=

If cos theta - sin theta = sqrt2 sin theta , then show that cos theta+sin theta = sqrt2 cos theta .