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Trigonometric Ratios Demo by Steven White

Trigonometric Ratios Demo by Steven White
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2019-03-10 14:26
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the calculation and visualization of trigonometric ratios (sine, cosine, tangent) in right triangles, showcasing the relationship between side lengths and angles. Key math concepts include definitions of trigonometric functions, geometric properties of right triangles, and coordinate system applications. The construction leverages GeoGebra commands like Intersect, Point, Segment, OrthogonalLine, Angle, and Distance, highlighting fundamental geometric constructions. It is suitable for high school mathematics education, aiding students in understanding the connection between trigonometric ratios and geometric figures, thereby enhancing spatial reasoning skills.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Segment(A, B) → f
  4. OrthogonalLine(B, f) → g
  5. Point(g) → C
  6. Segment(B, C) → h
  7. Segment(A, C) → i
  8. Angle(B, A, C) → α
  9. Point(f) → D
  10. Point(f) → E
  11. OrthogonalLine(D, f) → j
  12. OrthogonalLine(E, f) → k
  13. Intersect(j, i) → F
  14. Intersect(k, i) → G
  15. Segment(D, F) → l
  16. Segment(E, G) → m
  17. Distance(A, D) → distanceAD
  18. Distance(A, E) → distanceAE
  19. Distance(A, G) → distanceAG
  20. Distance(A, F) → distanceAF
  21. Distance(A, B) → distanceAB
  22. Distance(A, C) → distanceAC
  23. Segment(A, D) → n
  24. Segment(A, F) → p
  25. Segment(A, E) → q
  26. Segment(A, G) → r