Reference Angle Calculator

Reference Angle (θ'):

55°
Quadrant II

Understanding Reference Angles

A reference angle is the smallest positive acute angle formed between the terminal side of an angle and the x-axis. It's crucial for:

  • • Simplifying trigonometric calculations
  • • Finding trigonometric function values
  • • Solving trigonometric equations

Quick Reference

Quadrant I: θ' = θ
Quadrant II: θ' = 180° - θ
Quadrant III: θ' = θ - 180°
Quadrant IV: θ' = 360° - θ