engineering mathematics MCQ #5531

Simplify: sin(x)cos(3x) + cos(x)sin(3x)

engineering mathematics MCQ #5531

  1. Question 1

    Q1. Simplify: sin(x)cos(3x) + cos(x)sin(3x)

    • A) sin(4x)
    • B) sin(2x)
    • C) cos(4x)
    • D) cos(2x)

    Answer: sin(4x)

    Explanation: Using sin(A + B) = sin(A)cos(B) + cos(A)sin(B), the expression simplifies to sin(x + 3x) = sin(4x).