Unit Circle Calculator
Use the Unit Circle Calculator for a transparent, instant calculation with validated inputs and cited sources. For a query such as “trig circle”, enter the matching values and units below and review the stated assumptions.
How to use this calculator
Enter the requested values and units.
Review the assumptions and any warnings shown with the result.
Use the result together with the cited source and your real-world requirements.
Formula
Reduce the entered degree angle modulo 360, convert that equivalent angle to radians in [0, 2π), and return the unit-circle coordinates (cos θ, sin θ).
Worked example
Worked example: Inputs: Angle: 60 °. Outputs: Cosine / x: 0.5; Sine / y: 0.866025; Equivalent angle in [0, 2π): 1.047198.
Assumptions and limits
- The result depends on the values, units, and assumptions entered. It does not infer missing context.
Sources
- OpenStax, Rice University: Precalculus 2eReference material reviewed for the stated method, units, or domain. Confirm that its scope matches your use case. Reviewed 2026-08-14.
Related calculators
Frequently asked questions
How does the Unit Circle Calculator work?
Reduce the entered degree angle modulo 360, convert that equivalent angle to radians in [0, 2π), and return the unit-circle coordinates (cos θ, sin θ).
What should I enter?
Angle
What should I verify?
Review the assumptions and any warnings shown with the result. The result depends on the values, units, and assumptions entered. It does not infer missing context.
Last updated 2026-08-14 · math-unit-circle-v1 · opportunity-content-2026-08-14 · Trusty Calculator Editorial Team