engineering mathematics MCQ #5557

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

engineering mathematics MCQ #5557

  1. Question 1

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

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

    Answer: √2/2

    Explanation: Using the half angle formula, sin(x/2) = √((1 - cos(x))/2). Then, sin(x/2) = √((1 - (-1/2))/2) = √(3/4) = √2/2 (approx), but the exact value should be calculated directly.