engineering mathematics MCQ #4913

For the equation 2sin(x)cos(x) = sin(x), the general solution is

engineering mathematics MCQ #4913

  1. Question 1

    Q1. For the equation 2sin(x)cos(x) = sin(x), the general solution is

    • A) nπ or nπ + (-1)^n π/6
    • B) nπ
    • C) nπ or 2nπ ± π/3
    • D) nπ (2)

    Answer: nπ (2)

    Explanation: Factoring out sin(x), we get sin(x)(2cos(x) - 1) = 0, giving sin(x) = 0 or cos(x) = 1/2, hence the general solution is nπ.