engineering mathematics MCQ #4945

The solution of sin(3x) + sin(x) = 0 is

engineering mathematics MCQ #4945

  1. Question 1

    Q1. The solution of sin(3x) + sin(x) = 0 is

    • A) nπ/2
    • B) nπ
    • C) 2nπ
    • D) nπ/4

    Answer: nπ

    Explanation: Using sum-to-product, 2sin(2x)cos(x) = 0, hence sin(2x) = 0 or cos(x) = 0, giving x = nπ/2 or (2n+1)π/2, simplifying to nπ.