MathPlotAI Logo MathPlotAI

Trigonometric Ratios Demo by Rory Geoghegan

Trigonometric Ratios Demo by Rory Geoghegan
Loading the math board and drawing, please wait…
2019-01-26 06:23
AngleTrigonometryGeometric ConstructionGraphing
This example dynamically demonstrates the relationship between side lengths and angles in a right triangle, visually showcasing the definitions of sine, cosine, and tangent functions. It involves core math concepts like trigonometry, angles, right triangles, and coordinate systems. Construction highlights the use of GeoGebra commands such as Intersect, Circle, Point, Line, OrthogonalLine, and Segment. Ideal for high school students to grasp fundamental trigonometric concepts and practical applications.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Point(c) → B
  4. Intersect(c, yAxis, 2) → D
  5. Intersect(c, xAxis, 2) → E
  6. Line(A, B) → f
  7. OrthogonalLine(D, yAxis) → g
  8. Intersect(f, g) → CSe
  9. OrthogonalLine(CSe, xAxis) → h
  10. OrthogonalLine(E, xAxis) → i
  11. Intersect(i, f) → Se
  12. Segment(A, CSe) → j
  13. Intersect(h, xAxis) → CT
  14. Segment(A, CT) → k
  15. OrthogonalLine(B, k) → l
  16. Intersect(l, k) → Cs
  17. Segment(B, Cs) → m
  18. OrthogonalLine(B, yAxis) → n
  19. Intersect(n, yAxis) → Sn
  20. Segment(Se, E) → p
  21. Segment(Sn, A) → q
  22. Segment(CSe, CT) → r
  23. Segment(D, CSe) → s
  24. OrthogonalLine(Se, yAxis) → t
  25. Intersect(t, yAxis) → Tn
  26. Segment(Tn, Se) → a
  27. Segment(Sn, B) → d
  28. Segment(A, Se) → b
  29. Segment(A, Cs) → e
  30. Segment(Sn, Tn) → f_1