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

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

The sum of all values of theta belonging to [0,pi] and satisfying sin3 theta=(sqrt(3))/(2) is

The sum of all values of theta belonging to [0,pi] and satisfying sin3 theta=(sqrt(3))/(2) 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 theta in[0,2 pi] satisfying r sin theta=sqrt(3) and r+4sin theta=2(sqrt(3)+1) is

The number of values of theta in the range [0,2 pi] satisfying the equation cos^(4)2 theta+2sin^(2)2 theta=17(sin theta+cos theta)^(8) is

The value of theta lying between 0 and pi/2 and satisfying |[1+sin^2theta,cos^2theta,4sin4theta],[sin^2theta,1+cos^2theta,4sin4theta],[sin^2theta,cos^2theta,1+4sin4theta]|=0