engineering mathematics MCQ #5545

If sin(x) + cos(x) = √2, then what is the value of sin(x) cos(x)?

engineering mathematics MCQ #5545

  1. Question 1

    Q1. If sin(x) + cos(x) = √2, then what is the value of sin(x) cos(x)?

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

    Answer: 1/2

    Explanation: Squaring both sides, we get sin²(x) + 2 sin(x) cos(x) + cos²(x) = 2. Using sin²(x) + cos²(x) = 1, we simplify to 2 sin(x) cos(x) = 1, so sin(x) cos(x) = 1/2.