Question
If \(\sin(x) = \cos(3x - 30^\circ)\), what is the value of x?
This question was previously asked in
SSC CGL 2025 Tier 1 Question Paper (25-Sep-2025) (Shift 3)
The correct answer is
30°
Using \(\sin x = \cos(90^\circ - x)\), the equation becomes \(90^\circ - x = 3x - 30^\circ\). Solving, \(120^\circ = 4x\), so \(x = 30^\circ\).
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