SarkariPYQ

SSC CGL 2025 PYQ — Question 56

SSC CGL - 24 Sep 2025 - Shift 1 • Quantitative Aptitude • Q56

Back to paper

If sec A = 1312\frac{13}{12} and A is acute, find sin A.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 513\frac{5}{13}.

sec A = 13/12

⇒ cos A = 12/13

⇒ cos2A = 144/169

⇒ sin A = √(1 – cos2A) = √(1 – 144/169) = √(25/169) = 5/13