Unit Circle and Trigonometric Functions by Jamie Hansen

This GeoGebra example dynamically illustrates the relationship between the unit circle and the primary trigonometric functions (sine, cosine, tangent). It visualizes how an angle's measure, represented as a rotating ray from the circle's center, determines the corresponding function values and generates periodic wave graphs. Core mathematical concepts include radian measure, the right-triangle definition of trig ratios, and the geometric derivation of sinusoidal curves. Construction leverages GeoGebra commands such as Circle, Point, Intersect, and Angle, with interactive sliders to vary the angle and update function outputs in real time. It is well-suited for high school precalculus trigonometry units, bridging geometric intuition with algebraic function representation, and serves as an introductory resource for calculus concepts involving periodic functions.