Coterminal Angle Calculator
Calculate Positive and Negative Coterminal Angles
Positive Coterminal Angles:
Negative Coterminal Angles:
Understanding Coterminal Angles
Coterminal angles are angles that share the same terminal side when placed in standard position. They differ by multiples of 360° (in degrees) or 2π (in radians).
Key Concepts
When working with coterminal angles:
- Positive coterminal angles: Add 360° or 2π
- Negative coterminal angles: Subtract 360° or 2π
- The angles terminate at the same position despite different rotations
Formula
For any angle θ:
- In degrees: θ ± 360°n (where n is any integer)
- In radians: θ ± 2πn (where n is any integer)