Unit Circle Visualizer
Interactive Trigonometry Tool
Explore the unit circle with interactive controls, see trigonometric values, and understand angle relationships.
Unit Circle
Trigonometric Values
sin(θ)
0.7071
cos(θ)
0.7071
tan(θ)
1.0000
csc(θ)
1.4142
sec(θ)
1.4142
cot(θ)
1.0000
Controls
About Unit Circle
The unit circle is a circle with radius 1 centered at the origin (0,0).
Key Properties:
• Radius = 1
• x² + y² = 1
• x = cos(θ)
• y = sin(θ)
Features
- Interactive angle control
- Degrees and radians support
- Real-time visualization
- All 6 trig functions
- Common angle presets
- Animation mode
- Toggle grid/labels/triangle
- Coordinate display
Quadrants
Quadrant I (0° - 90°):
sin, cos, tan all positive
Quadrant II (90° - 180°):
sin positive, cos/tan negative
Quadrant III (180° - 270°):
tan positive, sin/cos negative
Quadrant IV (270° - 360°):
cos positive, sin/tan negative
Special Angles
0° (0 rad):
sin=0, cos=1, tan=0
30° (π/6):
sin=1/2, cos=√3/2
45° (π/4):
sin=√2/2, cos=√2/2
60° (π/3):
sin=√3/2, cos=1/2
90° (π/2):
sin=1, cos=0, tan=∞
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