三角函数的奇偶性 by Albert Navetta

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → Origin
2. Point(Unit) → C
3. OrthogonalLine(C, xAxis) → a
4. Intersect(xAxis, a) → D
5. Segment(C, D) → sine
6. Segment(Origin, C) → r
7. CircleSector(Origin, B, C) → θ_1
8. OrthogonalLine(C, r) → b
9. Intersect(yAxis, b) → Cosecant
10. Intersect(xAxis, b) → Secant
11. Segment(C, Secant) → Tan
12. Segment(C, Cosecant) → Cot
13. CircleArc(Origin, B, C) → θ
14. OrthogonalLine(C, yAxis) → c
15. Segment(Origin, D) → cos
16. Rotate(B, 0.5235987755982988, Origin) → B'_1
17. Rotate(B, 0.7853981633974483, Origin) → B'_2
18. Rotate(B, 1.0471975511965976, Origin) → B'
19. Intersect(Unit, yAxis) → A, E
20. Rotate(E, 0.5235987755982988, Origin) → E'_1
21. Rotate(E, 0.7853981633974483, Origin) → E'_2
22. Rotate(E, 1.0471975511965976, Origin) → E'
23. Intersect(Unit, xAxis) → F, G
24. Mirror(E'_1, xAxis) → H
25. Mirror(E'_2, xAxis) → I
26. Mirror(E', xAxis) → E''
27. Mirror(B'_1, xAxis) → J
28. Mirror(B'_2, xAxis) → K
29. Mirror(B', xAxis) → B''
30. OrthogonalLine(C, yAxis) → d
31. Intersect(yAxis, d) → L
32. Segment(L, C) → e
33. Segment(L, Origin) → f
34. TableText({{"csc θ = ", csc(θ)}, {"sec θ = ", sec(θ)}, {"cot θ =", cot(θ)}}) → text4
35. Angle(G, Origin, C) → α
36. Mirror(C, xAxis) → C'
37. Angle(C', Origin, G) → β
38. Segment(Origin, C') → h
39. Segment(D, C') → i
40. TableText({{"sin θ = ", sin(θ)}, {"cos θ =", x(C)}, {"tan θ =", tan(θ)}}) → sin_cos
41. TableText({{"\sin ( -θ) = ", (-sin(θ))}, {"\cos (-θ) =", x(C)}, {"\tan ( -θ) =", (-tan(θ))}}) → text1