MathPlotAI Logo MathPlotAI

Trig Ratios Demo

Trig Ratios Demo
Loading the math board and drawing, please wait…
2016-07-11 22:41
TriangleTrigonometryGeometric Construction
This example demonstrates how students can compare ratios of opposite/hypotenuse and adjacent/hypotenuse to determine trigonometric ratios. It involves core math concepts like trigonometry, right triangles, similar triangles, and geometric constructions. The construction uses commands/objects such as Line, OrthogonalLine, Point, Polygon, Intersect, Segment, Distance, and Angle from GeoGebra. It is suitable for high school students to understand the definition and properties of trigonometric functions and the application of geometric constructions in mathematics.

GeoGebra Commands & Parameters

  1. Line(A, C) → a
  2. OrthogonalLine(C, a) → b
  3. Point(b) → B
  4. Polygon(A, C, B) → poly1, c, a_1, b_1
  5. Point(b_1) → D
  6. Line(D, a_1) → d
  7. Intersect(d, c) → E
  8. Segment(E, D) → e
  9. Distance(A, E) → distanceAE
  10. Distance(A, C) → distanceAC
  11. Distance(E, D) → distanceED
  12. Distance(C, B) → distanceCB
  13. Angle(B, C, A) → α
  14. Angle(D, E, A) → β
  15. Distance(A, D) → distanceAD
  16. Distance(A, B) → distanceAB
  17. Angle(E, A, D) → γ
  18. Angle(A, D, E) → δ
  19. Angle(A, B, C) → ε