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Animated Unit Circle with Sin and Cos

Animated Unit Circle with Sin and Cos
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2017-03-14 12:01
CircleTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the movement of a point P on the unit circle and its corresponding sine and cosine values through animation. Key math concepts include the unit circle, trigonometric functions, coordinate system, and geometric transformations. GeoGebra commands used in construction are Intersect, Circle, Polygon, and Angle. It is suitable for high school students to learn and understand the definition of trigonometric functions and the relationship between the unit circle, as well as for classroom demonstrations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Polygon(A, D, B) → poly1, b, a, d
  4. Angle(F, A, B) → β

AI Drawing Prompt Reference

Draw an animated unit circle with a point moving on it, showing its corresponding sine and cosine values, emphasizing the relationship between the unit circle and trigonometric functions, suitable for high school students to learn trigonometric definitions and geometric transformations in the coordinate system.
The prompt above was compiled from the original drawing commands and is for reference only.