In $$\triangle XYZ$$, right angled at Y. if $$\sin X = \frac{1}{2}$$, find the value of $$\cos X \cos Z + \sin X \sin Z$$.

A

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

B

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

C

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

D

$$\sqrt{3}$$