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Unit Circle and Trigonometric Functions by ms.amara2015

Unit Circle and Trigonometric Functions by ms.amara2015
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2015-10-11 15:43
CircleFunctionTrigonometry
This example demonstrates the relationship between the unit circle and trigonometric functions. Key mathematical concepts include the unit circle, trigonometric functions, and tangents. Using GeoGebra commands such as Point, Line, Intersect, Circle, and Polygon, the example dynamically shows the correspondence between points on the unit circle and trigonometric function values. Suitable for high school mathematics education.

GeoGebra Commands & Parameters

  1. Point(yAxis) → I
  2. Point(yAxis) → H
  3. Line(H, I) → d
  4. Point(xAxis) → G
  5. Intersect(xAxis, yAxis) → A
  6. Circle(A, 1) → c
  7. Intersect(c, xAxis, 2) → F
  8. Line(F, G) → a
  9. Line(A, a) → g
  10. Point(c) → C
  11. Line(C, d) → e
  12. Point(yAxis) → D
  13. Point(xAxis) → E
  14. Intersect(e, g) → B
  15. Polygon(A, C, B) → poly1, Hyp, Opp, Adj
  16. Line(C, a) → f
  17. Line(A, d) → h
  18. Intersect(c, a, 2) → J
  19. Intersect(c, d, 2) → K
  20. Intersect(c, d, 1) → L
  21. Point(a) → M
  22. Point(a) → N
  23. Angle(F, A, C) → α
  24. Segment(R, B_1) → b
  25. Segment(S, A_1) → i
  26. Segment(T, Z) → j
  27. Segment(Q, W) → k
  28. Segment(P, V) → l
  29. Segment(O, U) → m
  30. Polygon(C_1, D_1, E_1, F_1) → poly2, c_1, d_1, e_1, f_1