engineering mathematics MCQ #5551

If cos(x) = 1/2, then what is the value of sin(3x)?

engineering mathematics MCQ #5551

  1. Question 1

    Q1. If cos(x) = 1/2, then what is the value of sin(3x)?

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

    Answer: 0

    Explanation: Using the triple angle formula, sin(3x) = 3 sin(x) - 4 sin³(x). First, find sin(x) = √(1 - cos²(x)) = √(1 - (1/2)²) = √3/2. Then, sin(3x) = 3(√3/2) - 4(√3/2)³ = 0.