SSC Selection Post 2025 PYQ — Question 43

SSC Selection Post - Graduation Level - 28th July 2025 - Shift 3 • Quantitative Aptitude • Q43

If sinθ is given and θ is an acute angle, find the value of (1 + cot²θ).

Show answer & explanation

Correct answer: B

Explanation

sinθ = 5/13

Perpendicular = 5

Hypotenuse = 13

Base = √(13² − 5²)

= √144 = 12

cotθ = 12/5

= 1 + cot²θ

= 1 + (12/5)²

= 1 + 144/25

= 169/25