What is the Unit Circle Calculator?
An online math tool on LeCalculators that solves unit circle calculator problems with clear numeric results for study and everyday use.
Unit Circle Calculator
Enter an angle in degrees or radians to read unit-circle coordinates and trig values.
Enter an angle
Choose degrees or radians, then enter θ.
About this calculator
How to use Unit Circle Calculator, plus the formulas and logic behind the results.
Tool description
On the unit circle, the point at angle θ is (cos θ, sin θ) with radius 1.
How to use
- Review the input fields and choose degrees or radians when asked.
- Enter the known values using consistent units.
- Select Calculate to view results.
- Adjust inputs and recalculate as needed.
Formulas & reference
x = cos θy = sin θtan θ = sin θ / cos θ (when cos θ ≠ 0)
Trig tips
- Confirm angle mode (degrees vs radians) before evaluating sin, cos, tan.
- Right-triangle tools assume a 90° angle between legs a and b.
- Triangle inequality: each side must be shorter than the sum of the other two.
Calculation logic
Converts θ to radians, evaluates cos and sin, and reports tan when cosine is not near zero.
Educational calculator. Floating-point rounding may differ slightly from textbook answers.
Unit Circle Calculator FAQ
Common questions about this calculator and how to use the results.
Do I use degrees or radians?
Many trig tools include an angle mode selector. Match the mode to how your angle is written—degrees (°) or radians.
Why is my answer undefined or invalid?
Trig functions have domain limits (for example arcsin needs −1…1). Triangle tools also reject sides that violate the triangle inequality.
How precise are the results?
Results use floating-point math and are rounded for display with mathFormat. Tiny rounding differences vs hand calculation are normal.
Is this calculator free?
Yes. LeCalculators trigonometry tools are free to use in your browser with guides and FAQs on each page.
Can I use this for homework?
Yes—use it to check work. Always show your own steps when your teacher requires a written solution.