Using $$2\cos A \cos B = \cos\left(A + B\right) + \cos\left(A - B\right)$$, find the value of $$\cos75^{\circ}\cos15^{\circ}$$.

A

$$\frac{1}{2}$$

B

$$\frac{1}{4}$$

C

$$\frac{\sqrt{3}}{2}$$

D

$$\frac{\sqrt{3}}{4}$$