Unit Circle, Sine, Cosine with trace
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This example demonstrates the trace of a point moving around the unit circle, visually illustrating the generation of sine and cosine function graphs. It involves core mathematical concepts such as the unit circle, trigonometric functions, coordinate geometry, angles, and rotation. GeoGebra commands and objects used include Intersect, Circle, Rotate, Segment, and Angle. Suitable for high school students to understand the definition and graph characteristics of trigonometric functions, as well as for mathematical teaching demonstrations.
GeoGebra Commands & Parameters
Intersect(xAxis, yAxis) → ACircle(A, 1) → cIntersect(c, xAxis, 2) → BRotate(B, a, A) → B'Segment(A, B') → fAngle(xAxis, f) → α