SSC CGL 2025 PYQ — Question 34

SSC CGL - 26 Sep 2025 - Shift 1 • Quantitative Aptitude • Q34

If sin x = cos(3x - 20∘^\circ), what is the value of x?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 27.5∘^\circ 

sin x = cos(3x − 20°)

cos θ = sin(90° − θ)

sin x = sin[90° − (3x − 20°)]

sin x = sin(110° − 3x)

For principal values:

x = 110° − 3x

4x = 110°

x = 27.5°

Therefore, x = 27.5°