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This question belongs to Arithmetic Ability Trigonometry
Trigonometry
?

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

Answer & Solution
Correct Answer: Option B
$$\eqalign{ & \frac{{\tan \theta + \sin \theta }}{{\tan \theta - \sin \theta }} = \frac{{{\text{k}} + 1}}{{{\text{k}} - 1}} \cr & \frac{{\tan \theta }}{{\sin \theta }} = {\text{k}} \cr & {\text{k}} = \sec \theta \cr} $$
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