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SSC CGL 2025 PYQ — Question 53

SSC CGL - 18 Sep 2025 - Shift 1 • Quantitative Aptitude • Q53

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

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. x2+1x2+3x^2 +\frac{1}{x^2}+3.

cosec2A = 1 + cot2A

= 1 + (x + 1/x)2

= 1 + x2 + 2 + 1/x2

= x2 + 1/x2 + 3