If $$\sec A - \tan A = p$$, then find the value of $$\sec A$$.

A

$$\cfrac{p^{2} - 1}{p^{2} + 1}$$

B

$$\cfrac{p^{2} + 1}{p^{2} - 1}$$

C

$$\cfrac{p^{2} + 1}{p}$$

D

$$\cfrac{p^{2} + 1}{2p}$$