engineering mathematics MCQ #5271

The period of y = sin(3x) + cos(2x) is

engineering mathematics MCQ #5271

  1. Question 1

    Q1. The period of y = sin(3x) + cos(2x) is

    • A) 2π
    • B) π
    • C) 2π / gcd(3, 2)
    • D) lcm(2π/3, 2π/2)

    Answer: 2π / gcd(3, 2)

    Explanation: The period of sin(ax) + cos(bx) is 2π / gcd(a, b). Here, gcd(3, 2) = 1, so period = 2π.