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Compound Angle Formula Rectangle

Compound Angle Formula Rectangle
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2018-11-04 19:08
AngleTrigonometryGeometric Construction
This example demonstrates the application of the compound angle formula in a rectangle. Key mathematical concepts include trigonometry and the compound angle formula. Using GeoGebra commands such as Line, Intersect, and Polygon, the construction of a rectangle and the geometric interpretation of the compound angle formula are shown. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(B, xAxis) → a
  2. Line(A, xAxis) → b
  3. Line(A, yAxis) → c
  4. Line(B, yAxis) → d
  5. Intersect(b, d) → C
  6. Intersect(a, c) → D
  7. Polygon(A, D, B, C) → poly1, a_1, d_1, b_1, c_1
  8. Point(poly1) → E
  9. Segment(A, E) → e
  10. OrthogonalLine(E, e) → f
  11. Intersect(f, d_1) → F
  12. Segment(E, F) → g
  13. Segment(F, A) → h
  14. Angle(F, E, A) → θ
  15. Angle(A, D, B) → ϕ
  16. Angle(B, C, A) → γ
  17. Angle(D, B, C) → δ
  18. Angle(C, A, E) → α
  19. Angle(E, A, F) → β
  20. Angle(F, A, D) → ε
  21. Angle(D, F, A) → ζ
  22. Angle(A, E, C) → η
  23. Angle(B, E, F) → ι
  24. Midpoint(A, E) → G
  25. Midpoint(F, E) → H
  26. Midpoint(A, F) → I
  27. Midpoint(A, C) → J
  28. Midpoint(E, C) → K
  29. Midpoint(B, E) → L
  30. Midpoint(F, B) → M
  31. Midpoint(D, F) → N
  32. Midpoint(D, A) → O
  33. Polygon(F, A, E) → poly2, e_1, f_1, a_2