engineering mathematics MCQ #4957

If 2sin²(x) + sin²(2x) = 2, then x =

engineering mathematics MCQ #4957

  1. Question 1

    Q1. If 2sin²(x) + sin²(2x) = 2, then x =

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

    Answer: nπ ± π/4

    Explanation: Simplifying gives 2sin²(x) + 4sin²(x)cos²(x) = 2, or 2sin²(x)(1 + 2cos²(x)) = 2, simplifying to sin²(x) = 1/2.