SSC CGL 2025 PYQ — Question 56

SSC CGL - 25 Sep 2025 - Shift 1 • Quantitative Aptitude • Q56

If tan x = cot(3x - 30°), find x.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 30°.

tan x = cot(3x – 30°) = tan(120° – 3x)

⇒ x = 120° – 3x

⇒ 4x = 120°

⇒ x = 120°/4 = 30°