engineering mathematics MCQ #5538

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

engineering mathematics MCQ #5538

  1. Question 1

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

    • A) 4/3
    • B) 3/4
    • C) 1
    • D) 2/3

    Answer: 4/3

    Explanation: Using tan(2x) = 2tan(x)/(1 - tan²(x)), we find tan(2x) = 2(1/2)/(1 - (1/2)²) = 1/(1 - 1/4) = 1/(3/4) = 4/3.