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

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

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 2pi which sastisfies the equation sin^4theta-2sin^2theta-1=0 . (True/False)

One value of theta which satisfies the equation sin^(4)theta-2sin^(2)theta-1 lies between 0and2pi .

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

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 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 theta=0 and theta=pi/2 and satisfying the equation |1+sin^2theta cos^2theta4sin4thetasin^2theta1+cos^2theta4sin4thetasin^2thetacos^2theta1+4sin4theta|=0a r e (7pi)/(24) (b) (5pi)/(24) (c) (11pi)/(24) (d) pi/(24)

The value of theta lying between theta=0 and theta=pi/2 and satisfying the equation |1+sin^2theta cos^2theta4sin4thetasin^2theta1+cos^2theta4sin4thetasin^2thetacos^2theta1+4sin4theta|=0a r e (7pi)/(24) (b) (5pi)/(24) (c) (11pi)/(24) (d) pi/(24)