Which of the following is equal to $$\left[\frac{\tan \theta + \sec \theta - 1}{\tan \theta - \sec \theta + 1}\right]$$?

A

$$\frac{1 + \cos \theta}{\sin \theta}$$

B

$$\frac{1 + \tan \theta}{\cot \theta}$$

C

$$\frac{1 + \cot \theta}{\tan \theta}$$

D

$$\frac{1 + \sin \theta}{\cos \theta}$$