engineering mathematics MCQ #4906

The general solution of 2cos²(x) - 1 = 0 is

engineering mathematics MCQ #4906

  1. Question 1

    Q1. The general solution of 2cos²(x) - 1 = 0 is

    • A) nπ ± π/4
    • B) 2nπ ± π/3
    • C) nπ ± π/3
    • D) 2nπ ± π/4

    Answer: 2nπ ± π/4

    Explanation: Using the identity cos(2x) = 2cos²(x) - 1, we get cos(2x) = 0, hence 2x = (2n + 1)π/2, giving x = nπ ± π/4, but in the form 2nπ ± π/4 for a specific n.