单位圆三角比

GeoGebra 命令及参数

1. Circle((0, 0), 1) → c
2. Point(c) → P
3. Intersect(xAxis, yAxis) → O
4. If(y(P) ≥ y(A), Distance[P, A], (-Distance[P, A])) → sinVal
5. Ray(O, P) → a
6. Line((0, 1), (1, 1)) → b
7. Line((1, 0), (1, 1)) → d
8. Intersect(b, d) → C
9. Intersect(d, a) → Q
10. Intersect(b, a) → X
11. Intersect(c, b) → D,
12. Intersect(d, xAxis) → B
13. Angle(B, O, P) → θ
14. If(x(A) ≥ x(O), Distance[O, A], (-Distance[O, A])) → cosVal
15. Segment(P, A) → e
16. Line((-1, 0), (-1, -1)) → d'
17. Intersect(d', a) → Q'
18. Intersect(c, d', 1) → B'
19. If(x(P) ≥ 0, If[(sinVal * cosVal) ≥ 0, Distance[B, Q], (-Distance[B, Q])], If[(sinVal * cosVal) ≥ 0, Distance[B', Q'], (-Distance[B', Q'])]) → tanVal
20. Intersect(b', a) → X'
21. If(x(P) ≥ 0, If[cosVal ≥ 0, Distance[O, Q], (-Distance[O, Q])], If[cosVal ≥ 0, Distance[O, Q'], (-Distance[O, Q'])]) → secVal
22. If(y(P) ≥ 0, If[(sinVal * cosVal) ≥ 0, Distance[D, X], (-Distance[D, X])], If[(sinVal * cosVal) ≥ 0, Distance[D', X'], (-Distance[D', X'])]) → cotVal
23. If(y(P) ≥ 0, If[sinVal ≥ 0, Distance[O, X], (-Distance[O, X])], If[sinVal ≥ 0, Distance[O, X'], (-Distance[O, X'])]) → cosecVal
24. Locus(Y_{cosec}, P) → cosecLocus
25. Segment(P_0, Y_{cosec}) → g
26. Locus(Y_{sec}, P) → cotLocus
27. Segment(P_0, Y_{sec}) → h
28. Locus(Y_{cot}, P) → loc3
29. Segment(Y_{cot}, P_0) → j
30. Locus(Y_{sin}, P) → sinLocus
31. Segment(Y_{sin}, P_0) → l
32. Locus(Y_{cos}, P) → cosLocus
33. Segment(Y_{cos}, P_0) → n
34. Locus(Y_{tan}, P) → tanLocus
35. Segment(Y_{tan}, P_0) → p
36. Segment(P, A) → f_1
37. Segment(O, A) → g_1
38. Segment(Q, B) → j_1
39. Segment(B', Q') → k_1
40. Segment(O, X) → l_1
41. Segment(O, X') → m_1
42. Segment(O, Q) → n_1
43. Segment(Q', O) → p_1
44. Segment(D, X) → q_1
45. Segment(X', D') → r_1
46. Segment(O, A) → s_1
47. Angle(P, A, O) → α