Using $$\cos (A + B) = \cos A \cos B - \sin A \sin B$$, find the value of $$\cos 75^{\circ}$$.

A

$$\frac{\sqrt{5 - 1}}{4}$$

B

$$\frac{\sqrt{5 + 1}}{4}$$

C

$$\frac{\sqrt{6} - \sqrt{2}}{4}$$

D

$$\frac{\sqrt{6} + \sqrt{2}}{4}$$