⭕
Unit Circle Visualizer
Drag to explore angles. Sin/cos/tan update in real-time with exact values.
Angle
deg
Click to toggle
Exact Values (45° = π/4)
sin 45°√2/2
cos 45°√2/2
tan 45°1
Values
cos 45°√2/2
sin 45°√2/2
tan 45°1
(x, y)(0.7071, 0.7071)
QuadrantI
Special Angles
Quadrant Sign Summary
I
0°-90°
sin +
cos +
tan +
II
90°-180°
sin +
cos −
tan −
III
180°-270°
sin −
cos −
tan +
IV
270°-360°
sin −
cos +
tan −
Practice Mode
Reference Table — Special Angles
| 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 |
📖How to Use
- 1Enter an angle in degrees or radians
- 2See the point on the unit circle and corresponding sin, cos, and tan values
- 3Use animation to visualize how the functions change as the angle rotates
💡Tips & Knowledge
- •Key angles to memorize: sin, cos, tan values at 0°, 30°, 45°, 60°, and 90°
- •sin²θ + cos²θ = 1 (Pythagorean identity) is the foundation of all trig calculations
- •Radians are defined as arc length ÷ radius. π radians = 180°
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