engineering mathematics MCQ #4944

If 2sin(x)cos(x) = 1, then x =

engineering mathematics MCQ #4944

  1. Question 1

    Q1. If 2sin(x)cos(x) = 1, then x =

    • A) nπ + (-1)^n * π/4
    • B) nπ/2 + (-1)^n * π/4
    • C) nπ + π/4
    • D) nπ/2 - (-1)^n * π/4

    Answer: nπ/2 + (-1)^n * π/4

    Explanation: 2sin(x)cos(x) = sin(2x) = 1, hence 2x = nπ + (-1)^n * π/2, so x = nπ/2 + (-1)^n * π/4.