engineering mathematics MCQ #5537

Simplify: (sin(x) + cos(x))²

engineering mathematics MCQ #5537

  1. Question 1

    Q1. Simplify: (sin(x) + cos(x))²

    • A) 1 + sin(2x)
    • B) 1 + cos(2x)
    • C) 1 - sin(2x)
    • D) 1 - cos(2x)

    Answer: 1 + sin(2x)

    Explanation: Expanding gives sin²(x) + 2sin(x)cos(x) + cos²(x) = 1 + sin(2x) using sin(2x) = 2sin(x)cos(x) and sin²(x) + cos²(x) = 1.