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°
SSC CGL - 24 Sep 2025 - Shift 3 • Quantitative Aptitude • Q54
If sin(x) = cos(3x - 30°), what is the value of x?
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°