Is this tool helpful?
Unit Circle
Interactive trigonometry unit circle
°
π/4
cos(θ)
0.7071
x-coordinate
sin(θ)
0.7071
y-coordinate
tan(θ)
1.0000
sin/cos
Click and drag on the circle to change the angle
Radius (1)
cos(θ)
sin(θ)
Angle arc
Special Angles Reference
| Degrees | Radians | sin | cos | tan |
|---|---|---|---|---|
| 0° | 0 | 0 | 1 | 0 |
| 30° | π/6 | 1/2 | √3/2 | √3/3 |
| 45° | π/4 | √2/2 | √2/2 | 1 |
| 60° | π/3 | √3/2 | 1/2 | √3 |
| 90° | π/2 | 1 | 0 | ∞ |
| 120° | 2π/3 | √3/2 | -1/2 | -√3 |
| 135° | 3π/4 | √2/2 | -√2/2 | -1 |
| 150° | 5π/6 | 1/2 | -√3/2 | -√3/3 |
| 180° | π | 0 | -1 | 0 |
| 210° | 7π/6 | -1/2 | -√3/2 | √3/3 |
| 225° | 5π/4 | -√2/2 | -√2/2 | 1 |
| 240° | 4π/3 | -√3/2 | -1/2 | √3 |
| 270° | 3π/2 | -1 | 0 | ∞ |
| 300° | 5π/3 | -√3/2 | 1/2 | -√3 |
| 315° | 7π/4 | -√2/2 | √2/2 | -1 |
| 330° | 11π/6 | -1/2 | √3/2 | -√3/3 |
| 360° | 2π | 0 | 1 | 0 |
About Unit Circle
What is Unit Circle?
Explore the unit circle interactively. See sine, cosine, and tangent values for any angle in degrees or radians. Visualize how trig functions relate to the circle.
Features & Benefits
- Interactive angle selection
- Sin, cos, tan values
- Degrees and radians
- Visual representation
- Special angles marked
- Learning tool
Frequently Asked Questions
- What is the unit circle?
- A circle with radius 1 centered at origin. Any point (x,y) on it satisfies: x = cos(θ), y = sin(θ) for angle θ.
- Why learn the unit circle?
- It's fundamental to trigonometry. Understanding it makes trig identities, calculus, and physics much easier.
- What are special angles?
- 0°, 30°, 45°, 60°, 90° and their multiples. These have exact values (like sin 45° = √2/2) worth memorizing.
Related Tools
100% Private & Secure
This tool runs entirely in your browser. Your files and data never leave your device and are not uploaded to any server.