SSC CGL 2025 PYQ — Question 54

SSC CGL - 24 Sep 2025 - Shift 3 • Quantitative Aptitude • Q54

If sin(x) = cos(3x - 30°), what is the value of x?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 30°.

sin x = cos(3x – 30°) = sin(120° – 3x)

x = 120° – 3x

⇒ 4x = 120°

⇒ x = 120°/4 = 30°