engineering mathematics MCQ #5533

What is the value of tan(22.5°)?

engineering mathematics MCQ #5533

  1. Question 1

    Q1. What is the value of tan(22.5°)?

    • A) √2 - 1
    • B) √2 + 1
    • C) 1 - √2
    • D) 1 + √2

    Answer: √2 - 1

    Explanation: Using tan(A/2) = (1 - cos(A))/sin(A), tan(22.5°) = tan(45°/2) = (1 - cos(45°))/sin(45°) = (1 - √2/2)/(√2/2) = √2 - 1.