Which of the following is the value of $$\sqrt{\frac{1-\sin 45^{\circ}}{1+\sin 45^{\circ}}}$$?

A

$$\cos 45^{\circ} - \tan 45^{\circ}$$

B

$$\tan 45^{\circ} - \sec 45^{\circ}$$

C

$$\tan 45^{\circ}$$

D

$$\sec 45^{\circ} - \tan 45^{\circ}$$