Find the number of values of `theta` lying in the interval` [0.2pi]` and satisfying the cubic `2sin^3theta-5sin^2theta+2sintheta=0`

The number of values of theta in the interval [-pi,pi] satisfying the equation costheta+sin2theta=0 is

The number of values of theta in the interval -pile theta le pi satisfying the equation cos theta + sin 2 theta =0 is-

The number of values of x lying in [-pi, pi] and satisfying 2sin^2theta = cos2theta and sin2theta+ 2cos2theta-costheta-1 = 0 is

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

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

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

If theta in the interval (0,pi/2) satisfying the equation cos2theta*sec^(4)theta+sec^(2)theta=0 , then sin^(2)theta =

The value of theta lying between theta = 0 and theta = pi//2 and satisfying the equation |(1+sin^(2)theta,cos^(2)theta,4sin4theta),(sin^(2)theta,1+cos^(2)theta,4sin4theta),(sin^(2)theta,cos^(2)theta,1+4sin4theta)|=0 are a) 3pi//24 b) 5pi//24 c) 11pi//24 d) pi//24