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Cosine Graph

Cosine Graph
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2016-07-08 00:46
FunctionTrigonometryGeometric Construction
This example demonstrates the connection between the unit circle and the cosine graph. Key mathematical concepts include trigonometry, rotation, and translation. Using GeoGebra commands such as Intersect, Circle, and Rotate, the example allows for dynamic observation of the cosine graph. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, B) → c
  3. Rotate(B, r, A) → P
  4. Segment(P, E) → f
  5. Segment(D, C) → h
  6. Rotate(B, r / 2, A) → B'_1
  7. CircumcircleArc(B, B'_1, P) → d
  8. Segment(A, D) → i
  9. Segment(P, A) → j
  10. Rotate(B, r, A) → B'
  11. Angle(B, A, B') → α
  12. Circle(A, 1) → e