Unit Circle Visualizer – Learn Trigonometry Visually
The unit circle is fundamental to understanding trigonometry. The Unit Circle Visualizer provides an interactive way to explore the unit circle, showing how angles relate to coordinates, sine, cosine, and tangent values in real-time.
Perfect for students learning trigonometry, teachers explaining concepts, or anyone wanting to understand the relationships between angles and trigonometric functions.
What is the Unit Circle?
The unit circle is a circle with a radius of 1 centered at the origin (0,0) on a coordinate plane. It's used to define trigonometric functions and understand the relationships between angles and their corresponding coordinates.
Key Concepts
- Radius: Always 1 unit
- Coordinates: (cos θ, sin θ) for any angle θ
- Quadrants: Four sections (I, II, III, IV) based on angle
- Reference Angles: Angles measured from the x-axis
Trigonometric Functions on Unit Circle
- Sine (sin): y-coordinate
- Cosine (cos): x-coordinate
- Tangent (tan): sin/cos = y/x
Conclusion
The Unit Circle Visualizer makes learning trigonometry more intuitive by showing how angles relate to coordinates and trigonometric values visually.