A hyperbola, having the transverse axis of length $$2 \sin \theta$$, is confocal with the ellipse $$3x^2 + 4y^2 = 12$$. Then its equation is

A

$$x^2 \cosec^2 \theta - y^2 \sec^2 \theta = 1$$

B

$$x^2 \sec^2 \theta - y^2 \cosec^2 \theta = 1$$

C

$$x^2 \sin^2 \theta - y^2 \cos^2 \theta = 1$$

D

$$x^2 \cos^2 \theta - y^2 \sin^2 \theta = 1$$