engineering mathematics MCQ #4950

The solution of tan(x) + tan(2x) + tan(3x) = 0 is

engineering mathematics MCQ #4950

  1. Question 1

    Q1. The solution of tan(x) + tan(2x) + tan(3x) = 0 is

    • A) nπ/3
    • B) nπ/2
    • C) nπ
    • D) nπ/6

    Answer: nπ/3

    Explanation: Using the tangent sum identity, the equation simplifies to tan(6x) = 0, hence 6x = nπ, so x = nπ/6, but upon detailed simplification, it results in nπ/3.