Geometrical Representation of Trigonometric Ratios

GeoGebra Commands & Parameters

1. Circle(A, 1) → c
2. Line(A, B) → a
3. OrthogonalLine(A, a) → b
4. Point(b) → C
5. Point(b) → D
6. Segment(C, D) → d
7. Point(a) → E
8. Segment(E, B) → e
9. Point(c) → F
10. Segment(A, F) → f
11. Intersect(c, e, 2) → G
12. OrthogonalLine(G, e) → g
13. Line(A, F) → h
14. Intersect(g, h) → H
15. Intersect(c, d, 1) → I
16. OrthogonalLine(I, d) → i
17. OrthogonalLine(F, e) → j
18. Intersect(j, e) → J
19. Segment(F, J) → k
20. Segment(A, J) → l
21. Segment(H, G) → m
22. Tangent(F, c) → n,
23. Intersect(a, n) → K
24. Segment(F, K) → p
25. Segment(A, K) → q
26. Segment(A, H) → r
27. Intersect(h, i) → L
28. Segment(I, L) → s
29. Intersect(b, n) → M
30. Segment(M, F) → t
31. Segment(A, L) → a_1
32. Segment(M, A) → b_1
33. Angle(G, A, F) → α
34. Segment(F, J) → c_1
35. Segment(F, K) → d_1
36. Segment(G, H) → e_1
37. Angle(A, F, K) → β
38. Segment(A, H) → f_1
39. Segment(A, K) → g_1
40. Segment(A, L) → h_1
41. Segment(M, A) → i_1
42. Segment(A, L) → j_1
43. Segment(A, J) → k_1
44. Angle(K, F, A) → γ
45. Segment(M, F) → l_1
46. Segment(I, L) → m_1
47. Polygon(A, F, K) → polígono1, k_2, a_2, f_2
48. Polygon(A, G, H) → polígono2, h_2, a_3, g_2
49. Rotate(G, 50*°, A) → G'
50. Polygon(A, J, F) → polígono3, f_3, a_4, j_2
51. Polygon(A, F, K) → polígono4, k_3, a_5, f_4
52. Polygon(A, G, H) → polígono5, h_3, a_6, g_3
53. OrthogonalLine(F, d) → n_1
54. Intersect(n_1, d) → N
55. Segment(N, F) → p_1
56. Segment(N, A) → q_1
57. Angle(F, A, M) → δ
58. Polygon(A, N, F) → polígono6, f_5, a_7, n_2
59. Segment(F, J) → r_1
60. Segment(A, J) → s_1
61. Polygon(L, I, A) → polígono7, a_8, l_2, i_2
62. Polygon(M, F, A) → polígono8, a_9, m_2, f_6
63. Angle(F, J, A) → ε
64. Angle(A, J, F) → ζ
65. Angle(H, G, A) → η
66. Angle(A, G, H) → θ