SSC CGL 2024 PYQ — Question 61

The correct answer is option 4 i.e. cosec A.

${sinA\over 1+cosA}+cotA$

⇒ ${cosAcotA+sinA+cotA\over 1+cosA}$

 ⇒ ${cosA\frac{cosA}{sinA}+sinA+cotA\over 1+cosA}$

 ⇒ ${\frac{cos^2A}{sinA}+sinA+cotA\over 1+cosA}$

 ⇒ ${\frac{cos^2A}{sinA}+sinA+\frac{cosA}{sinA}\over 1+cosA}$

 ⇒ ${\frac{cos^2A+sin^2A+cosA}{sinA}\over 1+cosA}$

 ⇒ ${\frac{1+cosA}{sinA}\over 1+cosA}$

 ⇒ $\frac{1}{sinA}$

$cosecA$