$$\left(\frac{\sin 45^\circ + \cos 45^\circ + \tan 45^\circ}{\sin 45^\circ - \cos 45^\circ - \tan 45^\circ}\right)^2 =$$

A

$$\frac{1}{2}\left(2 + \sqrt{2}\right)$$

B

$$\frac{1}{2}\left(2 - \sqrt{2}\right)$$

C

$$3 + 2\sqrt{2}$$

D

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