Coterminal Angle Calculator
Find the coterminal angle between 0 and 360° (or 2π) and other coterminal angles.
Change the values and press Calculate to work out your own figures.
Enter an angle and choose degrees or radians.
Show the working
- Add or subtract 360° as many times as needed
- 75° → 75°
How to use it
Enter an angle and choose degrees or radians.
Enter the values you know (decimals, fractions, surds such as 2√5, or angles such as π/3 in radians). Show the working gives the rule used at each step.
Key facts
θ + 360° k (θ + 2π k in radians)
Same position
Coterminal angles end in the same place: 75°, 435° and −285° all point the same way.
Questions
What is coterminal with 75°?
435° and −285° (and 75° ± any multiple of 360°).
And with −500°?
220°.
Formulas
θ + 360° k (θ + 2π k in radians)
Sources
Limitations
- Angles can be typed in degrees or radians; radians may be written with π (π/3, 2pi/3).