engineering mathematics MCQ #5555

If tan(x) = 3/4, then what is the value of sin(2x)?

engineering mathematics MCQ #5555

  1. Question 1

    Q1. If tan(x) = 3/4, then what is the value of sin(2x)?

    • A) 24/25
    • B) 12/25
    • C) 7/25
    • D) 1/25

    Answer: 24/25

    Explanation: Using the double angle formula, sin(2x) = 2 tan(x) / (1 + tan²(x)) = 2(3/4) / (1 + (3/4)²) = (3/2) / (25/16) = 24/25.