engineering mathematics MCQ #4910

The number of solutions of the equation sin(x) + cos(x) = √2 in the interval [0, 2π] is

engineering mathematics MCQ #4910

  1. Question 1

    Q1. The number of solutions of the equation sin(x) + cos(x) = √2 in the interval [0, 2π] is

    • A) 0
    • B) 1
    • C) 2
    • D) 4

    Answer: 1

    Explanation: Dividing by √2, we get sin(x + π/4) = 1, which has one solution in the given interval.