SSC CGL 2025 PYQ — Question 55

SSC CGL - 22 Sep 2025 - Shift 2 • Quantitative Aptitude • Q55

If sin x = cos(5x - 60°), then what is the value of x?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 25°.

Formula: sin x = cos(90° – x)

sin x = cos(5x – 60°)

⇒ x = 90° – (5x – 60°)

⇒ x = 90° – 5x + 60°

⇒ 6x = 150°

⇒ x = 150°/6 = 25°