There exists a value of theta between `0 and 2pi` which sastisfies the equation `sin^4theta-2sin^2theta-1=0`. (True/False)

There exists a value of theta between 0 and 2 pi that satisfies the equation sin^(4)theta-2sin^(2)theta-1=0

There exist a value of theta between 0 and 2pi that satisfies the equaition sin^(4) theta-2sin^(2) theta+ 1=0

One value of theta which satisfies the equation sin^(4)theta-2sin^(2)theta-1 lies between 0 and 2pi .

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

The value of theta lying between 0 and pi/2 and satisfying the equation |[1+sin^2theta,cos^2theta,4sin4theta] , [sin^2theta,1+cos^2theta,4sin4theta] , [sin^2theta,cos^2theta,1+4sin4theta]|=0 (A) (7pi)/24 or (11pi)/24 (B) (5pi)/24 (C) pi/24 (D) none

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

Find all values of theta lying between 0 and 2 pi satisfying the equation r sin theta=sqrt(3) and r+4sin theta=2(sqrt(3)+1)

Number of values of theta lying between theta=0 and theta=pi satisfying the equation |(1 +sin^2 theta,cos^2 theta,4 sin 6 theta),(sin^2 theta,1+cos^2 theta,4 sin 6 theta),(sin ^2 theta,cos^2 theta,1+4sin 6 theta)|=0 is