Transforming Sine and Cosine Functions (2): Dynamic Demonstration

GeoGebra Commands & Parameters

1. Dilate(V, If[3 < j ≤ 4, 4 - j, 0], A_1) → V'_1
2. Distance((0, 0), V'_1) → a_2
3. Vector(A, B) → v
4. Dilate(F, If[0 < j ≤ 1, 1 - j, 0], G) → F'
5. Dilate(K, If[1 < j ≤ 2, 2 - j, 0], L) → K'
6. Vector(K, K') → w
7. Distance(K, L) → distanceKL
8. Dilate(H, If[3 < j ≤ 4, 4 - j, 0], D) → H'
9. Distance(M, H') → k
10. Vector(M, H') → l
11. Distance(M, H') → distanceMH'
12. Dilate(M, If[5 < j ≤ 6, 6 - j, 0], P) → M'
13. Vector(M, M') → m
14. Translate(f_1, m) → g_1
15. Vector(O, N) → u_1
16. Distance(O, N) → distanceON
17. Mirror(r, y = 0) → r_1
18. Mirror(s, y = 0) → s_1
19. Mirror(t, y = 0) → t_1
20. Mirror(H, y = 0) → H'_1
21. Mirror(I, y = 0) → I'
22. Mirror(K', y = 0) → K''
23. Vector(K, K'') → u
24. Distance(K, K'') → distanceKK''
25. Distance(K, K'') → b
26. Dilate(H'_1, If[3 < j ≤ 4, 4 - j, 0], E) → H''
27. Distance(M, H'') → o
28. Vector(M, H'') → v_1
29. Distance(M, H'') → a_1
30. Distance(M, H'') → distanceMH''
31. Translate(h_1, m) → p_1
32. Vector(O, Q) → w_1
33. Distance(O, Q) → distanceOQ
34. Dilate(W, If[1 < j ≤ 2, 2 - j, 0], V) → W'
35. Vector(W, W') → c_1
36. Distance(W, V) → distanceWV
37. Mirror(q_1, y = 0) → d_1
38. Mirror(f_2, y = 0) → e_1
39. Mirror(g_2, y = 0) → i_1
40. Mirror(W', y = 0) → W''
41. Vector(W, W'') → j_1
42. Distance(Z, W) → distanceZW
43. Dilate(Z, If[3 < j ≤ 4, 4 - j, 0], A_1) → V'
44. Mirror(V', y = 0) → V''
45. Distance(W, V') → k_1
46. Vector(C_1, D_1) → l_1
47. Vector(C_1, E_1) → m_1
48. Distance(C_1, D_1) → distanceC1D1
49. Distance(C_1, E_1) → distanceC1E1
50. Distance(V, V'_1) → o_1
51. Dilate(D_1, If[5 < j ≤ 6, 6 - j, 0], G_1) → H_1
52. Vector(D_1, H_1) → u_2
53. Translate(C_1, u_2) → I_1
54. Distance(I_1, H_1) → distanceI1H1
55. Translate(h_2, u_2) → q_2
56. Vector(I_1, H_1) → v_2
57. Dilate(E_1, If[5 < j ≤ 6, 6 - j, 0], J_1) → K_1
58. Vector(E_1, K_1) → w_2
59. Translate(C_1, w_2) → L_1
60. Translate(p_2, w_2) → r_2
61. Vector(L_1, K_1) → b_2
62. Distance(L_1, K_1) → distanceL1K1
63. Textfield(a) → InputBox1
64. Textfield(d) → InputBox2