The number of roots of the equation `2 sin^(2)theta + 3 sin theta + 1 = 0` in `(0, 2pi)` is

The number of solutions of the equation sin^(4) theta - 2 sin^(2) theta +1 = 0 which lie between 0 and 2 pi is :

The number of solutions of the equation sin^(4) theta - 2 sin^(2) theta +1 = 0 which lie between 0 and 2 pi is :

Find how many number of roots of the equation 1+ sin ^(3)theta = cos ^(6) theta in the inteerval [0,2pi].

The number of solutions of the pair of equations: 2 sin^2 theta- cos 2 theta = 0, 2 cos^2 theta - 3 sin theta=0 in the interval [0, 2 pi] is :