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Animated Sine Curve

Animated Sine Curve
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2019-02-04 23:11
FunctionTrigonometryGraphing
This example demonstrates the dynamic generation and transformation of a sine curve. It involves core math concepts like trigonometric functions, coordinate geometry, and geometric transformations. Construction highlights include using GeoGebra commands such as Point, Circle, Rotate, Angle, Line, Intersect, Segment, and CircleArc. Suitable for high school mathematics education to understand the dynamic properties and parameter effects on function graphs.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Circle(A, 1) → c
  3. Point(c) → B
  4. Rotate(B, a, A) → B'
  5. Angle(B, A, B') → α
  6. Line(B', yAxis) → b
  7. Intersect(b, xAxis) → C
  8. Segment(B', C) → d
  9. Segment(B', A) → e
  10. Segment(B', Q) → g
  11. CircleArc(A, B, B') → h
  12. Segment(B, R) → i
  13. Segment(Q, R) → j
  14. Angle(B', C, A) → β