Expanded Graphs of Sine and Cosine from the Unit Circle

Expanded Graphs of Sine and Cosine from the Unit Circle
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2015-02-15 12:13
This example demonstrates the expanded graphs of sine and cosine functions derived from the unit circle. It involves core math concepts like the unit circle, trigonometric functions, parametric curves, and coordinate geometry. Constructed using GeoGebra commands such as Circle, CircleArc, Intersect, and tslider to plot key points and their loci. Ideal for high school mathematics education to illustrate the relationship between trigonometric graphs and the unit circle.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, B) → c
  3. CircleArc(A, B, C) → d
  4. Intersect(xAxis, yAxis) → D
  5. Circle(A, B) → e
  6. CircleArc(A, B, C) → f