Sine on the Unit Circle
The sine of an angle is its y-coordinate.
Drag the horizontal line to find where
.
Cosine on the Unit Circle
The cosine of an angle is its x-coordinate.
Tap the two points on the circle where
.
Tangent as Slope
Tangent is the slope of the line, found where it intersects the tangent axis ().
Slide to rotate the line until it hits
.
The General Solution
Functions repeat! Sine and Cosine repeat every 2π, while Tangent repeats every π.
Drag the correct period to complete the general solution for
.
Mastered!
You've successfully solved trigonometric equations using the unit circle and built general solutions.