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Trigonometric Calculator by ctmathnut

Trigonometric Calculator by ctmathnut
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2014-11-03 22:59
TriangleFunctionTrigonometryGeometric ConstructionSlider Animation
This example demonstrates how to compute sine, cosine, and tangent values based on the side lengths of similar triangles. It involves core math concepts like trigonometric functions, similar triangles, and side length relationships. The construction uses commands/objects such as Rotate, Polygon, Dilate, Angle, Point, Segment, and Textfield from GeoGebra. It is suitable for high school students to understand the application of trigonometric functions in similar triangles and practice geometric constructions.

GeoGebra Commands & Parameters

  1. Rotate(C_1, 90*°, B) → C'_1
  2. Polygon(A, B, C_1) → poly1, c, a, b
  3. Dilate(A, 2, D) → A'
  4. Dilate(B, 2, D) → B'
  5. Dilate(C_1, 2, D) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'
  7. Dilate(A', 2, D) → A''
  8. Dilate(B', 2, D) → B''
  9. Dilate(C', 2, D) → C''
  10. Polygon(A'', B'', C'') → poly1'', c'', a'', b''
  11. Angle(C_1, B, C'_1) → ε
  12. Point(a) → C
  13. Segment(A, C) → d
  14. Segment(C, B) → e
  15. Segment(A, B) → f
  16. Polygon(A, C, B) → poly2, b_1, a_1, e_1
  17. Dilate(A, 2, D) → A'_1
  18. Dilate(C, 2, D) → C'_2
  19. Dilate(B, 2, D) → B'_1
  20. Polygon(A'_1, C'_2, B'_1) → poly2', b'_1, a'_1, c'_2
  21. Dilate(A'_1, 2, D) → E
  22. Dilate(C'_2, 2, D) → F
  23. Dilate(B'_1, 2, D) → G
  24. Polygon(E, F, G) → poly2'', g, e_2, f_1
  25. Angle(B, A, C) → α
  26. Angle(B'_1, A'_1, C'_2) → β
  27. Angle(G, E, F) → γ
  28. Textfield(blank) → inputBox1
  29. Textfield(blank2) → inputBox2
  30. Textfield(blank3) → inputBox3
  31. Textfield(blank4) → inputBox4
  32. Textfield(blank5) → inputBox5
  33. Textfield(blank6) → inputBox6
  34. Textfield(blank7) → inputBox7
  35. Textfield(blank8) → inputBox8
  36. Textfield(blank9) → inputBox9

AI Drawing Prompt Reference

Draw a triangle ABC with points A, B, and C as vertices. Use rotation, dilation, and translation commands to create similar triangles A'B'C', A''B''C'', and EFG. Measure angles α, β, and γ to calculate the side length relationships. Add text input boxes to the diagram for entering and displaying trigonometric function values.
The prompt above was compiled from the original drawing commands and is for reference only.