If $$x = \cosec \theta - \sin \theta$$ and $$y = \sec \theta - \cos \theta$$, then the relation between x and y is

A

$$x^2 + y^2 + 3 = 1$$

B

$$x^2y^2(x^2 + y^2 + 3) = 1$$

C

$$x^2(x^2 + y^2 - 5) = 1$$

D

$$y^2(x^2 + y^2 - 5) = 1$$