SSC CGL 2025 PYQ — Question 51

SSC CGL - 14 Sep 2025 - Shift 3 • Quantitative Aptitude • Q51

If sin A + cos A = 2\sqrt2 sin A, then what is the value of cot A?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e.  2\sqrt2 - 1.

sin A + cos A = √2 sin A

⇒ cos A = √2 sin A - sin A = sin A(√2 - 1)

⇒ cos A/sin A = √2 - 1

⇒ cot A = √2 - 1