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Infinite Sine

Infinite Sine
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2016-05-11 20:21
CircleFunctionTrigonometryGeometric ConstructionSlider Animation
This example demonstrates the geometric relationship between the sine function and the unit circle, dynamically showing the formation process of the sine wave. Core math concepts include trigonometric functions, unit circle, angles, radians, and rotation. Construction highlights involve GeoGebra commands/objects like Intersect (intersection), Circle (circle), Segment (segment), Angle (angle), and CircleArc (arc). Suitable for high school students learning the geometric meaning of trigonometric functions and physics demonstrations of wave phenomena.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, B) → c
  3. Segment(D, E) → f
  4. Segment(A, E) → g
  5. Segment(A, D) → h
  6. Angle(C, A, D) → β
  7. Intersect(c, k, 2) → N
  8. CircleArc(A, N, F) → d
  9. CircleArc(A, N, D) → e