SSC CHSL 2023 PYQ — Question 61

The correct answer is option 2 i.e. cosec²A + cotA.

a³ - b³ = (a - b)(a² + ab + b²)

Also, cot²A + 1 = cosec²A  (Trigonometric identity)

According to the given question,

${({cot A-1})({cot^2 A + cotA + 1)}\over {cot A-1}}$

⇒ cot²A + 1 + cotA

⇒ cosec²A + cotA