Find `theta in [pi/2, 3pi/2]` satisfying `2cos^(2)theta +sin theta le 2`.

The possible value of theta in [-pi, pi] satisfying the equation 2(costheta + cos 2theta)+ (1+2costheta)sin 2theta = 2sintheta are

The number of values of theta in [0,2 pi] satisfying the equation 2sin^(2)theta=4+3cos theta are

The sum of all values of theta in (0 , pi) satisfying sin^(2) 2 theta + cos^(4) 2 theta = 1 is:

The number of values of x lying in [-pi,pi] and satisfying 2sin^(2)theta=cos2 theta and sin2 theta+2cos2 theta cos theta-1=0 is

The sum of all values of theta in (0,pi/2) satisfying sin^2 2theta+cos^4 2theta=3/4 is

The number of values of theta in[0,2 pi] that satisfy the equation sin^(2)theta-cos theta=(1)/(4)

The value of theta lying between 0 and pi/2 and satisfying the equation |(1+cos^2theta, sin^2theta, 4sin4theta),(cos^2theta, 1+sin^2theta, 4sin4theta),(cos^2theta, sin^2theta, 1+4sin4theta)|=0 is (are) (A) (7pi)/24 (B) (3pi)/8 (C) (11pi)/24 (D) (7pi)/12