engineering mathematics MCQ #5561

If cos(2x) = 1/2, then what is the value of sin(x)?

engineering mathematics MCQ #5561

  1. Question 1

    Q1. If cos(2x) = 1/2, then what is the value of sin(x)?

    • A) 1/2
    • B) 1/√2
    • C) √3/2
    • D) 1/√3

    Answer: 1/√2

    Explanation: Using the double angle formula, cos(2x) = 1 - 2 sin²(x) = 1/2. Then, 2 sin²(x) = 1/2, so sin²(x) = 1/4, giving sin(x) = 1/√2.