Unit Circle Explorer - Free Online Tool | PivaBox

Interactive unit circle — explore sine, cosine, tangent, common angles, and quadrant relationships with live visualization

How to Use the Unit Circle Explorer

1. Drag the angle slider or enter a value directly in the degrees/radians input to rotate the angle indicator on the circle
2. Observe the cos(θ) (green) and sin(θ) (red) projections on the axes — watch how they change as the angle rotates through all four quadrants
3. Click any row in the Common Angles table to jump to that angle. Enable Animate to see the angle rotate continuously. Switch between degree and radian input modes

Frequently Asked Questions

Is this unit circle explorer free?

Yes, PivaBox Unit Circle Explorer is completely free. All rendering happens on an HTML5 Canvas in your browser — no data is sent anywhere.

What is the unit circle?

The unit circle is a circle with radius 1 centered at the origin. For any angle θ, the point where the ray at angle θ intersects the circle has coordinates (cos θ, sin θ). This fundamental relationship connects geometry to trigonometry.

Why are some tan values infinity?

tan(θ) = sin(θ)/cos(θ). When cos(θ) = 0 (at 90° and 270°), division by zero occurs, making tan undefined (∞). This corresponds to vertical asymptotes on the tangent graph.