Unit Circle: Basic Graph of Trigonometric Functions

GeoGebra Commands & Parameters

1. Vector((0, 0), (1, 0)) → v
2. Translate(A, v) → A'
3. Ray(A, A') → a
4. Point(a) → B
5. Segment(A, B) → b
6. Vector(A, B) → Radius
7. Translate(C, Radius) → C'
8. Circle(C, C') → c
9. Point(c) → D
10. CircleArc(C, C', D) → d
11. Line(C, C') → e
12. OrthogonalLine(D, e) → f
13. Intersect(f, e) → E
14. Segment(D, E) → g
15. Point(Circle[F, abs(d)]) → G
16. Segment(F, G) → h
17. Vector(E, D) → Chord_1
18. OrthogonalLine(F, Radius) → i
19. Translate(i, Radius) → i'
20. Translate(i', Radius) → i''
21. Translate(i'', Radius) → i'''
22. Translate(i''', Radius) → j
23. Translate(j, Radius) → j'
24. Translate(j', Radius) → j''
25. Translate(G, Chord_1) → G'
26. Segment(G', G) → k
27. Intersect(i', h) → H
28. Intersect(i'', h) → I
29. Intersect(i''', h) → J
30. Intersect(j, h) → K
31. Intersect(j', h) → L
32. Intersect(j'', h) → M
33. Rotate(B, 90*°, A) → B'
34. Translate(A, Radius) → A'_1
35. Vector(A, A'_1) → u
36. Vector(A, B') → w
37. Ray(F, G) → m
38. Translate(F, w) → F'
39. Translate(G, w) → G'_1
40. Ray(F', G'_1) → m'
41. Translate(F', w) → F''
42. Translate(G'_1, w) → N
43. Ray(F'', N) → m''
44. Translate(F'', w) → F'''
45. Translate(N, w) → N'
46. Ray(F''', N') → m'''
47. Mirror(F''', m) → O
48. Mirror(N', m) → N''
49. Ray(O, N'') → n
50. Mirror(F'', m) → F'''_1
51. Mirror(N, m) → N'_1
52. Ray(F'''_1, N'_1) → m'''_1
53. Mirror(F', m) → F''_1
54. Mirror(G'_1, m) → P
55. Ray(F''_1, P) → m''_1
56. OrthogonalLine(C', m') → l
57. Line(C, D) → p
58. Intersect(l, p) → Q
59. Segment(Q, C') → r
60. Vector(C', Q) → Tangent
61. Translate(G, Tangent) → G'_2
62. Segment(G'_2, G) → t
63. Intersect(l, p) → R
64. Segment(R, C) → a_1
65. Point(a_1) → S
66. Vector(C, R) → Secant
67. Line(C, C') → b_1
68. OrthogonalLine(D, Secant) → c_1
69. Intersect(b_1, c_1) → T
70. Vector(C, T) → Secant_2
71. Translate(G, Secant_2) → G'_3
72. Rotate(G'_3, 90*°, G) → U
73. Segment(G, U) → d_1
74. Segment(C, T) → e_1
75. Ray(C, C') → g_1
76. Rotate(C, 57.29577951308232*°, C) → C'_1
77. Rotate(C', 57.29577951308232*°, C) → C''
78. Ray(C'_1, C'') → h_1
79. Intersect(d, h_1) → V,
80. Rotate(C'_1, 57.29577951308232*°, C) → W
81. Rotate(C'', 57.29577951308232*°, C) → C'''
82. Ray(W, C''') → i_1
83. Rotate(W, 57.29577951308232*°, C) → W'
84. Rotate(C''', 57.29577951308232*°, C) → Z
85. Ray(W', Z) → j_1
86. Rotate(W', 57.29577951308232*°, C) → W''
87. Rotate(Z, 57.29577951308232*°, C) → Z'
88. Ray(W'', Z') → k_1
89. Rotate(W'', 57.29577951308232*°, C) → W'''
90. Rotate(Z', 57.29577951308232*°, C) → Z''
91. Ray(W''', Z'') → l_1
92. Rotate(W''', 57.29577951308232*°, C) → A_1
93. Rotate(Z'', 57.29577951308232*°, C) → Z'''
94. Ray(A_1, Z''') → m_1
95. Intersect(d, i_1, 1) → B_1
96. Intersect(d, j_1, 1) → C_1
97. Intersect(d, k_1, 1) → D_1
98. Intersect(d, l_1, 1) → E_1
99. Intersect(d, m_1, 1) → F_1
100. Line(D, b) → p_1
101. OrthogonalLine(C, p_1) → q_1
102. Intersect(p_1, q_1) → G_1
103. Segment(D, G_1) → r_1
104. Vector(G_1, D) → Cochord
105. Translate(G, Cochord) → G'_4
106. Rotate(G'_4, 90*°, G) → H_1
107. Segment(H_1, G) → s_1
108. Rotate(C', 90*°, C) → C''_1
109. OrthogonalLine(C''_1, l) → t_1
110. Intersect(p, t_1) → I_1
111. Segment(C''_1, I_1) → a_2
112. Vector(C''_1, I_1) → Cotangent
113. Translate(G, Cotangent) → G'_5
114. Rotate(G'_5, 90*°, G) → J_1
115. Segment(J_1, G) → b_2
116. Line(C, C') → c_2
117. Intersect(p, t_1) → K_1
118. Segment(C, K_1) → d_2
119. Line(C, C''_1) → e_2
120. OrthogonalLine(D, d_2) → f_2
121. Intersect(e_2, f_2) → L_1
122. Segment(C, L_1) → g_2