engineering mathematics MCQ #4907

The solution of sin(2x) = sin(x) is

engineering mathematics MCQ #4907

  1. Question 1

    Q1. The solution of sin(2x) = sin(x) is

    • A) 2nπ/3
    • B) nπ
    • C) 2nπ or nπ + (-1)^n π/3
    • D) nπ or 2nπ ± π/3

    Answer: 2nπ or nπ + (-1)^n π/3

    Explanation: Using the identity sin(a) = sin(b), we have 2x = nπ + (-1)^n x, giving two sets of solutions.