engineering mathematics MCQ #5532

If sin(x) = 1/3, what is sin(2x)?

engineering mathematics MCQ #5532

  1. Question 1

    Q1. If sin(x) = 1/3, what is sin(2x)?

    • A) 4√2/9
    • B) 2√2/9
    • C) √2/3
    • D) 2/3

    Answer: 4√2/9

    Explanation: Using sin(2x) = 2sin(x)cos(x) and cos(x) = √(1 - sin²(x)), we find cos(x) = √(1 - (1/3)²) = √(8/9) = 2√2/3, so sin(2x) = 2(1/3)(2√2/3) = 4√2/9.