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Trigonometric Ratios by Chi Tran

Trigonometric Ratios by Chi Tran
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2014-10-07 10:59
AngleTrigonometryGeometric Construction
This example demonstrates why the trigonometric ratios are constant for a fixed angle. It involves the core concept of trigonometry and uses GeoGebra commands such as Rotate, Angle, Line, OrthogonalLine, Intersect, Polygon, Point, Segment to construct the demonstration. Suitable for students at the middle school level and above to learn the basic properties of trigonometric functions.

GeoGebra Commands & Parameters

  1. Rotate(A, (-(a°)), B) → A'
  2. Angle(A', B, A) → α
  3. Line(A, B) → b
  4. OrthogonalLine(A, b) → c
  5. Line(A', B) → d
  6. Intersect(c, d) → C
  7. Angle(B, A, C) → β
  8. Polygon(B, A, C) → poly1, c_1, b_1, a_1
  9. Point(b) → D
  10. Point(b) → E
  11. Rotate(D, (-(a°)), E) → D'
  12. Angle(D', E, D) → γ
  13. OrthogonalLine(D, b) → e
  14. Line(D', E) → f
  15. Intersect(e, f) → F
  16. Polygon(E, D, F) → poly2, f_1, e_1, d_1
  17. Angle(E, D, F) → δ
  18. Segment(F, E) → g
  19. Segment(F, D) → h
  20. Segment(D, E) → i
  21. Segment(B, A) → j
  22. Segment(C, A) → k
  23. Segment(C, B) → l