Geometric View of the Complex Sine Function

GeoGebra Commands & Parameters

1. Circle(D, E) → d_1
2. Point(d_1) → J
3. Polygon(A, B, C) → poly1, c_1, a_1, b_1
4. Vector(F, G) → u
5. OrthogonalLine(F, u) → e_1
6. Point(e_1) → H
7. Translate(G, u) → G'_1
8. Translate(H, u) → H'_1
9. Polygon(F, H, H'_1, G) → poly2, f, h, h', g
10. Vector(F, G'_1) → v
11. Translate(F, v) → F'
12. Translate(H, v) → H'
13. Translate(H'_1, v) → I
14. Translate(G, v) → G'
15. Polygon(F', H', I, G') → poly2', f', h'_1, i, g'
16. Translate(F', v) → F''
17. Translate(H', v) → H''
18. Translate(I, v) → I'
19. Translate(G', v) → G''
20. Polygon(F'', H'', I', G'') → poly2'', f'', h'', i', g''
21. Point(poly1) → L
22. Point(poly2) → M
23. Point(poly2') → N
24. Point(poly2'') → O
25. Intersect(xAxis, yAxis) → P
26. Circle(P, 1) → k
27. Line(Q, R) → j
28. Polygon(K, T, 5) → poly3, k_1, t, p, q, r, U, V, W
29. Polygon(K, V, T, W, U) → poly4, k_2, v_1, t_1, w, u_1
30. Point(poly4) → Z
31. Point(j) → S
32. Locus(S', S) → loc6
33. Locus(J', J) → loc1
34. Locus(L', L) → loc2
35. Locus(M', M) → loc3
36. Locus(N', N) → loc4
37. Locus(O', O) → loc5
38. Locus(Z', Z) → loc7