engineering mathematics MCQ #5536

What is the value of sin(75°)?

engineering mathematics MCQ #5536

  1. Question 1

    Q1. What is the value of sin(75°)?

    • A) (√6 + √2)/4
    • B) (√6 - √2)/4
    • C) (√2 + √6)/4
    • D) (√2 - √6)/4

    Answer: (√6 + √2)/4

    Explanation: Using sin(A + B) = sin(A)cos(B) + cos(A)sin(B), sin(75°) = sin(45° + 30°) = sin(45°)cos(30°) + cos(45°)sin(30°) = (√2/2)(√3/2) + (√2/2)(1/2) = (√6 + √2)/4.