engineering mathematics MCQ #4941

If sin(x) + cos(x) = √2, then x =

engineering mathematics MCQ #4941

  1. Question 1

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

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

    Answer: 2nπ + π/4

    Explanation: Dividing by √2 gives sin(x+π/4) = 1, hence x+π/4 = 2nπ + π/2, so x = 2nπ + π/4.