Find the number of solution for , `sin 5 theta * cos 3 theta = sin 9 theta * cos 7 theta ` in `[0,(pi)/2]`

Find the number of solution for sin 5theta cdot cos 3theta = sin 9theta cos 7theta in [0, pi/2]

The nummber of distinct solutions of sin5 theta*cos3 theta=sin9 theta*cos7 theta in [0,(pi)/(2)] is

The number of solution of cos 2 theta = sin theta in (0, 2 pi) is

The number of solutions of cos 2 theta = sin theta in (0, 2pi) is

The number of distinct solutions of sin5 theta*cos3 theta*cos7 theta=0 in [0,(pi)/(2)] is :

Find the number of solution of the equation 2(cos theta+cos2 theta)+sin2 theta(1+2cos theta)=2sin thetain theta in[0,3 pi]

The number of solutions of tan(5 pi cos theta)=cot(5 pi sin theta) for theta in[0,pi]