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
(a) zero
(b) one
(c ) two
(d) four

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 [0,2pi] is

The number of solutions of the pair of equations 2sin^2theta-cos2theta=0 2cos^2theta-3sintheta=0 in the interval [0,2pi] is

The number of solution of the pair of equations 2sin^2theta-cos2theta=0a n d 2cos^2theta-3sintheta=0 in the interval [0,2pi] is 0 (b) 1 (c) 2 (d) 4

Solve 2 cos^(2) theta +3 sin theta=0 .

The number of solutions of the pair of equations 2sin^2theta−cos2theta=0 and 2cos ^2 θ−3sinθ=0 in the interval [0,2π] is :

Statement-1: The number of solutions of the simultaneous system of equations 2"sin"^(2)theta-"cos" 2 theta =0 2"cos"^(2)theta - 3"sin" theta = 0" in the interval "[0, 2pi] is two. Statement-2: If 2"cos"^(2)theta-3"sin" theta = 0, "then" theta does not lie in in III or IV quadrant.

The solution set of the equation 4 "sin" theta "cos" theta- 2 "cos" theta -2sqrt(3) "sin" theta + sqrt(3) =0 " in the interval" (0, 2 pi) , is

The number of solutions of the equation sin 2 theta-2 cos theta +4 sin theta=4 in [0, 5pi] is equal to

Solve sin 2 theta+cos theta=0 .

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