engineering mathematics MCQ #4925

The general solution of the equation sin(2x) = 1/2 is

engineering mathematics MCQ #4925

  1. Question 1

    Q1. The general solution of the equation sin(2x) = 1/2 is

    • A) nπ + (-1)^n * π/12
    • B) nπ/2 + (-1)^n * π/12
    • C) nπ + (-1)^(n+1) * π/6
    • D) nπ + π/6

    Answer: nπ/2 + (-1)^n * π/12

    Explanation: Use the identity sin(2x) = sin(α), then 2x = nπ + (-1)^n * α, and solve for x.