Question

Simplify the expression $\frac{\sqrt{\frac{1 - \sin \theta}{1 + \sin \theta}}}{\sqrt{\frac{1 + \cos \theta}{1 - \cos \theta}}} + \frac{\sqrt{\frac{1 + \sin \theta}{1 - \sin \theta}}}{\sqrt{\frac{1 - \cos \theta}{1 + \cos \theta}}}$

• A. 1
• B. tanθ
• C. 2(cosec2θ + 1)
• D. 4cosec2θ + 2
• E. 2cotθ

Answer 1

Answer: (D)

4cosec2θ + 2

Answer 2

The correct answer is option (D): 4cosec2θ + 2