SSC CPO 2023 PYQ — Question 105

The correct answer is option 3 i.e. sec A + tan A.

Formula used:

cos²A = 1 - sin²A

Calculations:

⇒  $\sqrt\frac{1 + sinA}{1 - sin A}$

⇒ $\sqrt{\frac{1 + sinA}{1 - sin A} \times \frac{1 + sin A}{1 + sin A}}$

⇒ $\sqrt\frac{(1 + sinA)^2}{1 - sin^2 A}$

⇒  $\frac{1 + sinA}{cosA}$

⇒ $\frac{1}{cosA} + \frac{sin A}{cos A}$

⇒ sec A + tan A