engineering mathematics MCQ #4959

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

engineering mathematics MCQ #4959

  1. Question 1

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

    • A) 2nπ or 2nπ + π/2
    • B) 2nπ
    • C) 2nπ + π/2
    • D) nπ

    Answer: 2nπ or 2nπ + π/2

    Explanation: Squaring both sides and simplifying gives sin(2x) = 0, so 2x = 2nπ or 2x = 2nπ + π, giving x = nπ or nπ + π/2, but checking gives 2nπ or 2nπ + π/2.