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Investigating Trig Ratios

Investigating Trig Ratios
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2015-03-04 22:34
TrigonometryTransformationGeometric Construction
This example uses rotation, angles, lines, and other geometric objects to explore the relationships between trigonometric ratios. Key mathematical concepts include trigonometry and similarity transformations. It utilizes commands such as Rotate, Angle, Line, Point, OrthogonalLine, Intersect, Polygon, Textfield, and TableText in GeoGebra. Suitable for high school math education and students learning trigonometry.

GeoGebra Commands & Parameters

  1. Rotate(A, α, B) → A'
  2. Angle(A, B, A') → β
  3. Line(A', B) → a
  4. Line(B, A) → c
  5. Point(a) → C
  6. OrthogonalLine(C, c) → b
  7. Intersect(b, c) → D
  8. Polygon(C, B, D) → poly1, d, c_1, b_1
  9. Point(poly1) → E
  10. Line(E, c_1) → e
  11. Point(poly1) → F
  12. Line(F, b_1) → f
  13. Intersect(e, f) → G
  14. Intersect(c_1, b_1) → H
  15. Intersect(d, c_1) → I
  16. Angle(C, H, I) → γ
  17. Textfield(α) → inputBox1
  18. TableText({{A1, B1, C1, D1}, {A2, B2, C2, D2}}, "|_") → text1
  19. TableText({{A4, B4, C4}, {A5, B5, C5}}, "|_") → text3