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Exploring Trigonometric Ratios by Ken Arvidson

Exploring Trigonometric Ratios by Ken Arvidson
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2019-12-17 02:00
FunctionTrigonometryCoordinate Geometry
This example uses GeoGebra to demonstrate the concept of trigonometric ratios. It involves sine functions, symmetry, and polygons. By drawing rays, points, orthogonal lines, intersections, segments, distances, and angles, students can visually understand the properties of trigonometric ratios. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Ray(A, B) → f
  2. Ray(A, C) → g
  3. Point(f) → D
  4. OrthogonalLine(D, f) → h
  5. Intersect(h, g) → E
  6. Segment(E, D) → i
  7. Point(f) → F
  8. OrthogonalLine(F, f) → j
  9. Intersect(j, g) → G
  10. Segment(G, F) → k
  11. Distance(F, G) → distanceFG
  12. Distance(G, A) → distanceGA
  13. Distance(D, E) → distanceDE
  14. Distance(E, A) → distanceEA
  15. Angle(G, A, F) → α
  16. Distance(A, F) → distanceAF
  17. Distance(A, D) → distanceAD
  18. Distance(G, F) → GF
  19. Distance(G, A) → GA
  20. Distance(D, E) → DE
  21. Distance(A, E) → AE
  22. Distance(A, F) → AF
  23. Distance(A, D) → AD
  24. Distance(E, D) → ED
  25. Angle(G, F, A) → β
  26. Angle(E, D, A) → γ
  27. Segment(H, I) → m
  28. Segment(J, K) → n
  29. Polygon(A, E, D) → t1, d_1, a_1, e_1
  30. Polygon(A, G, F) → t2, f_1, a_2, g_1