Unit Circle Visualizer
Drag the angle handle or use the slider to see sin, cos and tan, the reference angle, the quadrant and the exact values for every special angle.
Readout
- sin θ
- 0.76604
- cos θ
- 0.64279
- tan θ
- 1.19175
- quadrant
- I
- reference angle
- 50.00°
- angle in words
- twenty to two
- exact sin
- —
- exact cos
- —
- exact tan
- —
The “angle in words” field reads the angle as a clock face, so 50° becomes “ten to eleven” — handy for checking the reading against the special-angle table.
Pythagorean check
sin² + cos² = 1.0000000000
Always 1 (up to floating-point rounding) because the point stays on the unit circle.
Special angles
click a row to jump to it| degrees | radians | sin θ | cos θ | tan θ | quadrant |
|---|---|---|---|---|---|
| 0° | 0 | 0 | 1 | 0 | on +x |
| 30° | π/6 | 1/2 | √3/2 | √3/3 | I |
| 45° | π/4 | √2/2 | √2/2 | 1 | I |
| 60° | π/3 | √3/2 | 1/2 | √3 | I |
| 90° | π/2 | 1 | 0 | undefined | on +y |
| 120° | 2π/3 | √3/2 | −1/2 | −√3 | II |
| 135° | 3π/4 | √2/2 | −√2/2 | −1 | II |
| 150° | 5π/6 | 1/2 | −√3/2 | −√3/3 | II |
| 180° | π | 0 | −1 | 0 | on −x |
| 210° | 7π/6 | −1/2 | −√3/2 | √3/3 | III |
| 225° | 5π/4 | −√2/2 | −√2/2 | 1 | III |
| 240° | 4π/3 | −√3/2 | −1/2 | √3 | III |
| 270° | 3π/2 | −1 | 0 | undefined | on −y |
| 300° | 5π/3 | −√3/2 | 1/2 | −√3 | IV |
| 315° | 7π/4 | −√2/2 | √2/2 | −1 | IV |
| 330° | 11π/6 | −1/2 | √3/2 | −√3/3 | IV |
| 360° | 2π | 0 | 1 | 0 | on +x |
About this tool
The sine and cosine legs of the right triangle are drawn as coloured segments alongside the tangent measured on the line x = 1, and the exact-value column is a lookup of the familiar radical forms rather than a rounded decimal. Drag anywhere in the figure to set the angle, or play the winding animation to trace both waves beside the circle. Everything is computed and drawn locally in your browser.
- 100% free — no account needed
- Runs in your browser
- Nothing is uploaded
Frequently asked questions
Is Unit Circle Visualizer really free?
Yes. Unit Circle Visualizer is completely free on PureBrowser — every feature, with no account, no trial, and no credit card.
Does Unit Circle Visualizer upload my data?
No. Unit Circle Visualizer runs entirely inside your browser, so anything you type, paste, or open stays on your own device.
Do I need to sign up or install anything?
Neither. There is no account and nothing to download — open the page and Unit Circle Visualizer is ready to use on desktop or mobile.
Does Unit Circle Visualizer work offline?
Once the page has loaded, yes. All of the processing happens locally in your browser, so it keeps working without a connection.
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