Trig Ratio Demonstrator

GeoGebra Commands & Parameters

1. Denominator(sine) → dsine
2. Numerator(sine) → nsine
3. Intersect(k_1, i) → B, C
4. Textfield(cosine) → InputBox2
5. Textfield(sine) → InputBox1
6. Textfield(tangent) → InputBox3
7. Textfield(PosSec) → InputBox6
8. Dilate(A, If[0 < j ≤ 1, 1 - j, 0], D) → A'
9. Mirror(A', x = 0) → A''
10. Segment(A, A') → l
11. Segment(A, A'') → m
12. Dilate(D, If[1 < j ≤ 2, 2 - j, 0], C) → D'
13. Mirror(D', x = 0) → D''
14. Segment(D, D') → n
15. Segment(E, D'') → p
16. Angle(C, D, A) → α
17. Angle(A, E, B) → β
18. Dilate(A, If[2 < j ≤ 3, 3 - j, 0], C) → A'_1
19. Dilate(A, If[2 < j ≤ 3, 3 - j, 0], B) → A'_2
20. Segment(A, A'_1) → q
21. Segment(A, A'_2) → r
22. Distance(D, C) → distanceDC
23. Distance(A, C) → distanceAC
24. Distance(A, B) → distanceAB
25. Distance(E, B) → distanceEB
26. Polygon(A, D, C) → poly1, c_1, a_1, d_1
27. Polygon(A, B, E) → poly2, e_1, a_2, b_1
28. Distance(D, C) → o
29. Distance(E, B) → s
30. Numerator(cosine) → ncosine
31. Denominator(cosine) → dcosine
32. Intersect(e, g) → F, G
33. Dilate(A, If[0 < j ≤ 1, 1 - j, 0], H) → A'_3
34. Segment(A, A'_3) → f_1
35. Dilate(H, If[1 < j ≤ 2, 2 - j, 0], F) → H'
36. Segment(H, H') → g_1
37. Dilate(A, If[2 < j ≤ 3, 3 - j, 0], F) → A'_4
38. Segment(A, A'_4) → h_1
39. Polygon(A, H, F) → poly3, f_2, a_3, h_2
40. Mirror(A, i_1) → A'_5
41. Mirror(H, i_1) → H'_1
42. Mirror(F, i_1) → F'
43. Polygon(A'_5, H'_1, F') → poly3', f', a'_5, h'_1
44. Mirror(H, i_1) → H'_2
45. Mirror(H', i_1) → H''
46. Segment(H'_2, H'') → j_1
47. Mirror(A, i_1) → A'_6
48. Mirror(A'_4, i_1) → I
49. Segment(A'_6, I) → l_1
50. Angle(F, H, A) → γ
51. Angle(A, H, G) → δ
52. Numerator(tangent) → ntangent
53. Denominator(tangent) → dtangent
54. Mirror(J, A) → J'
55. Mirror(L, i_1) → L'
56. Mirror(n_1, i_1) → q_1
57. Angle(L, J, A) → ε
58. Angle(A, J, N) → ζ
59. Dilate(A, If[0 < j ≤ 1, 1 - j, 0], J) → A'_7
60. Dilate(A, If[0 < j ≤ 1, 1 - j, 0], J') → A'_8
61. Segment(A, A'_7) → r_1
62. Segment(A, A'_8) → s_1
63. Dilate(J, If[1 < j ≤ 2, 2 - j, 0], L) → J'_1
64. Dilate(J, If[1 < j ≤ 2, 2 - j, 0], N) → J'_2
65. Segment(J, J'_1) → t_1
66. Segment(J, J'_2) → j_2
67. Distance(J, J'_1) → distanceJJ'1
68. Distance(J, J'_2) → distanceJJ'2
69. Distance(A, A'_7) → distanceAA'7
70. Distance(A'_8, A) → distanceA'8A
71. Dilate(A, If[2 < j ≤ 3, 3 - j, 0], L) → A'_9
72. Dilate(A, If[2 < j ≤ 3, 3 - j, 0], N) → A'_{12}
73. Segment(A, A'_9) → k_2
74. Segment(A, A'_{12}) → m_2
75. Polygon(A, J, L) → poly4, l_3, a_4, j_3
76. Polygon(A, J, N) → poly7, n_3, a_7, j_4
77. Mirror(A, g_2) → A'_{10}
78. Mirror(A'_9, g_2) → O
79. Segment(A'_{10}, O) → l_2
80. Mirror(A, r_1) → A'_{11}
81. Mirror(A'_9, r_1) → P
82. Segment(A'_{11}, P) → n_2
83. Mirror(A'_{10}, s_1) → Q
84. Mirror(O, s_1) → O'
85. Segment(Q, O') → p_2
86. Mirror(A, A) → A'_{13}
87. Mirror(J, A) → J'_3
88. Mirror(N, A) → N'
89. Polygon(A'_{13}, J'_3, N') → poly7', n', a'_{13}, j'_3
90. Mirror(J, A) → J'_4
91. Mirror(J'_2, A) → R
92. Segment(J'_4, R) → q_2
93. Angle(A, J', K) → η
94. Mirror(J, A) → J'_5
95. Mirror(J'_1, A) → S
96. Segment(J'_5, S) → r_2
97. Mirror(A, A) → A'_{14}
98. Mirror(J, A) → J'_6
99. Mirror(L, A) → L'_1
100. Polygon(A'_{14}, J'_6, L'_1) → poly4', l'_1, a'_{14}, j'_6
101. Angle(M, J', A) → θ
102. Distance(A, A'_3) → distanceAA'3
103. Distance(D, D') → distanceDD'
104. Distance(E, D'') → distanceED''
105. SurdText(nsine / dsine) → text5
106. SurdText(ncosine / dcosine) → text6
107. SurdText(ntangent / dtangent) → text7
108. Distance(J'_5, S) → distanceJ'5S