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Sine and Cosine Components

Sine and Cosine Components
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2017-06-18 23:58
TrigonometryGeometric ConstructionGraphing
This example demonstrates the decomposition of sine and cosine functions in geometric figures. It involves core math concepts like trigonometry, vectors, and geometric transformations. Construction highlights include commands like Circle, Point, Angle, Segment, Ray, and Intersect. Suitable for high school mathematics education to understand the relationship between trigonometric functions and geometric shapes.

GeoGebra Commands & Parameters

  1. Circle(A, 1) → c
  2. Point(c) → B
  3. Angle(C, A, B) → α
  4. Segment(A, B) → a
  5. Segment(A, D) → b
  6. Segment(A, E) → d
  7. Segment(H, C) → e
  8. Segment(F, G) → f
  9. Segment(B, E) → g
  10. Segment(B, D) → h
  11. Ray(A, B) → i
  12. Point(i) → I
  13. Segment(A, N) → j
  14. Segment(A, M) → k
  15. Angle(C, A, N) → β
  16. Angle(C, A, M) → γ
  17. Intersect(c, k, 1) → J
  18. Segment(D, J) → n
  19. Intersect(c, j, 1) → K
  20. Segment(E, K) → p
  21. Ray(A, K) → r
  22. Point(r) → L
  23. Ray(A, M) → s
  24. Point(s) → P