What is the value of tan(22.5°)?
Question 1
Q1. What is the value of tan(22.5°)?
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.