What is the value of $$\frac{\left[2 \cot \times \frac{(p - A)}{2}\right]}{\left[1 + \tan^2 \times \frac{(2p - A)}{2}\right]}$$?

A

$$2 \sin^2 \frac{A}{2}$$

B

$$\cos A$$

C

$$\sin A$$

D

$$2 \cos^2 \frac{A}{2}$$