SSC CHSL 2025 PYQ — Question 68

SSC CHSL - 22 Nov 2025 - Shift 1 • Quantitative Aptitude • Q68

Simplify the expression:

(cos x cosec x) / cot x

Show answer & explanation

Correct answer: A

Explanation

Given :

(cos x cosec x) / cot x

According to the formula:

cosec x = 1 / sin x

cot x = cos x / sin x

(cos x cosec x) / cot x

= (cos x 1/sin x) / (cos x/sin x)

= (cos x / sin x) × (sin x / cos x)

= 1