Number of solutions of `5cos^(2)theta-3sin^(2)theta+6sin theta cos theta=7` in the interval `[0,2 pi)` is:

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

The number of solution of the equation sin theta cos theta cos 2 theta .cos 4theta =1/2 in the interval [0,pi]

Number of solutions of the equation "sin" 2 theta + 2 = 4"sin" theta + "cos" theta lying in the interval [pi, 5pi] is

The number of roots of equation cos^(7)theta - sin^(4)theta = 1 that lie in the interval [0,2pi] is-

Solution set of equation 2 sin^(2) theta = 3 cos theta in the interval [0, 2 pi] is

sin^(6)theta+cos^(6)theta+3sin^(2)theta cos^(2)theta=1

solve 6sin^(2)theta-sin theta cos theta-cos^(2)theta=3