engineering mathematics MCQ #5541

If sin(x) + cos(x) = 1, what is sin(2x)?

engineering mathematics MCQ #5541

  1. Question 1

    Q1. If sin(x) + cos(x) = 1, what is sin(2x)?

    • A) 0
    • B) 1
    • C) -1
    • D) 1/2

    Answer: 0

    Explanation: Squaring both sides gives sin²(x) + 2sin(x)cos(x) + cos²(x) = 1, so 1 + sin(2x) = 1, hence sin(2x) = 0.