The unit circle has radius 1 centered at the origin. Any point on it has coordinates (cosθ, sinθ). Standard angles: 0°(1,0), 30°(√3/2,1/2), 45°(√2/2,√2/2), 60°(1/2,√3/2), 90°(0,1). These repeat with sign changes in other quadrants. tanθ = sinθ/cosθ.
How to Use
Explore the unit circle:
- Click: Standard angles
- Enter: Custom angle
- View: Exact trig values
Quadrant Signs
- Q1 (0°-90°): All positive
- Q2 (90°-180°): Sin positive
- Q3 (180°-270°): Tan positive
- Q4 (270°-360°): Cos positive
Remember: All Students Take Calculus
Key Values
sin(30°)=1/2, sin(45°)=√2/2, sin(60°)=√3/2. cos(30°)=√3/2, cos(45°)=√2/2, cos(60°)=1/2. tan(45°)=1.
Step-by-Step Instructions
- 1Select a standard angle.
- 2View exact trig values.
- 3Toggle degrees/radians.
- 4Enter a custom angle.
- 5Check the quadrant.