三角函数与单位圆 by Thomas Lingefjärd

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Function(0, 1.9, 5.5) → g
3. Point(g) → Q
4. Point(yAxis) → B
5. Circle(A, B) → c
6. Point(c) → D
7. Tangent(D, c) → e,
8. Intersect(e, yAxis) → F
9. Intersect(xAxis, e) → E
10. Segment(F, E) → l
11. Segment(E, A) → m
12. Intersect(m, l) → O
13. Intersect(c, xAxis, 2) → C
14. Segment(A, C) → d
15. Segment(A, E) → secα
16. OrthogonalLine(D, d) → f
17. Intersect(f, m) → H
18. Segment(A, H) → cosα
19. Angle(Q, A, D) → α
20. Segment(A, D) → b
21. Segment(F, D) → cotα
22. Segment(D, E) → tanα
23. Segment(A, F) → cscα
24. Segment(D, H) → sinα
25. OrthogonalLine(D, sinα) → i
26. Function(1 / sin((2 * (x - (2 * 3.14 / 3)))), 2.09, 5.24) → cosecantα
27. Intersect(cosecantα, h, (2.176513564978313, 6.038860142308602)) → G
28. Function(sin((2 * (x - (2 * 3.14 / 3)))), 2.09, 5.24) → sineα
29. Intersect(sineα, h, (2.176513564978313, 0.1655941645334593)) → I
30. Function(tan((2 * (x - (2 * 3.14 / 3)))), 2.09, 5.24) → tangentα
31. Intersect(tangentα, h, (2.176513564978313, 0.16791236545719676)) → J
32. Function(cos((2 * (x - (2 * 3.14 / 3)))), 2.09, 5.24) → cosineα
33. Intersect(cosineα, h, (2.176513564978313, 0.9861939832874999)) → K
34. Function(1 / cos((2 * (x - (2 * 3.14 / 3)))), 2.09, 5.24) → secantα
35. Intersect(secantα, h, (2.176513564978313, 1.0139992911602214)) → L
36. Function(1 / tan((2 * (x - (2 * 3.14 / 3)))), 2.09, 5.24) → cotangentα
37. Intersect(cotangentα, h, (2.176513564978313, 5.955487538259439)) → M
38. Segment(H, D) → j
39. Segment(A, F) → k
40. Intersect(j, m) → N
41. Intersect(k, l) → P
42. Function(1, 1.9, 5.5) → p
43. Function(-1, 1.9, 5.5) → q
44. Point(c) → R
45. Segment(C, R) → a