engineering mathematics MCQ #4936

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

engineering mathematics MCQ #4936

  1. Question 1

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

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

    Answer: nπ/2 + π/6 or nπ - π/2

    Explanation: Use the identity sin(2x) = 2sin(x)cos(x) and cos(x) = cos(x), then simplify and solve.