If $$\frac{{\tan \theta + \sin \theta }}{{\tan \theta - \sin \theta }} = \frac{{{\text{k}} + 1}}{{{\text{k}} - 1}},$$     then k = ?

A. cosecθ

B. secθ

C. cosθ

D. sinθ

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & \frac{{\tan \theta + \sin \theta }}{{\tan \theta - \sin \theta }} = \frac{{{\text{k}} + 1}}{{{\text{k}} - 1}} \cr & \frac{{\tan \theta }}{{\sin \theta }} = {\text{k}} \cr & {\text{k}} = \sec \theta \cr} $$