SarkariPYQ

SSC CGL 2025 PYQ — Question 54

SSC CGL - 17 Sep 2025 - Shift 3 • Quantitative Aptitude • Q54

Back to paper

If cot A = x+1xx+{1\over x}, find cosec2A.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. x2+1/(x2)+3x ^ 2 + 1/(x ^ 2) + 3.

cosec2A = 1 + cot2A

= 1 + (x + 1/x)2 

= 1 + x2 + 2 + 1/x2

= x2 + 1/(x2) + 3