The period of the function ` f( theta ) = sin""(theta )/(3) + cos""(theta )/(2) ` is

The period of the function f( theta ) = 4 + 4 sin ^3 theta -3 sin theta is

The function f(theta) = cos (pi sin^(3) theta) , is

The function f(theta) = cos (pi sin^(2) theta) , is

The range of the function f(theta)=sqrt(8sin^(2)theta+4cos^(2)theta-8sin theta cos theta) is

Show that, for all real values of theta the function (2 sin theta+ cos theta)/(3 sin theta+ 4 cos theta) is increasing.

sin^(3)theta + sin theta - sin theta cos^(2)theta =