If `2sin^(2)x + sqrt(3) cos x + 1 =0`, then `theta =`

If (2+sqrt(3))cos x + sin x = 1 then theta =

if sin^(2)x+sqrt(3)cos x+1=0 then x=

If 4sin^(2)x-2 (1+sqrt(3))sin x + sqrt(3)=0 then theta =

If sin theta,cos theta are the roots of the equation 2x^(2)-2sqrt(2)x+1=0, then theta is equal to

If 3 cos^(2) theta - 2sqrt(3) sin theta cos theta -3 sin^(2) theta = 0 , then theta =

If |{:(1+cos^2 theta, sin^2 theta, 2sqrt3tantheta),(cos^2 theta, 1+sin^2 theta, 2sqrt3tan theta),(cos^2 theta, sin^2 theta, 1+2sqrt3 tan theta):}| =0 then theta may be :

If x sin^(3) theta + y cos^(3) theta = sin theta cos theta ne 0 and x sin theta - y cos theta = 0 , then value of (x^(2) + y^(2)) is :

If beta is one of the angles between the normals to the ellipse, x^2+3y^2=9 at the points (3 cos theta, sqrt(3) sin theta)" and "(-3 sin theta, sqrt(3) cos theta), theta in (0,(pi)/(2)) , then (2 cos beta)/(sin 2 theta) is equal to: