MathPlotAI Logo MathPlotAI

Plot Sin Cos and Tan using Unit Circle

Plot Sin Cos and Tan using Unit Circle
Loading the math board and drawing, please wait…
2020-03-15 06:05
TrigonometryCoordinate GeometryGeometric ConstructionGraphing
This example demonstrates how to plot the sine, cosine, and tangent functions using the unit circle. It involves core math concepts like the unit circle, trigonometric functions, coordinate geometry, angles, and geometric constructions. Key GeoGebra commands and objects used include Point, Circle, Segment, Intersect, Rotate, and Angle. Suitable for high school students learning the geometric meaning of trigonometric function graphs, and also useful for calculus and analytical geometry instruction.

GeoGebra Commands & Parameters

  1. Point({-125, 0}) → A
  2. Circle(A, 100) → c
  3. Segment(K, I) → f
  4. Intersect(c, f, 2) → N
  5. Rotate(N, X°, A) → N'
  6. Point(c) → B
  7. Intersect(xAxis, yAxis) → D
  8. Angle(D, A, B) → α
  9. Point({x(N'), 0}) → C
  10. Angle(C, A, N') → θ
  11. Segment(C, A) → h
  12. Segment(F, G) → j
  13. Segment(L, M) → i
  14. Segment(H, J) → k
  15. Segment(x_1, x_2) → l
  16. Segment(x_3, x_4) → m
  17. Segment(x_5, x_6) → n
  18. Segment(x_7, x_8) → p
  19. Segment(y_7, y_8) → q
  20. Segment(y_3, y_4) → r
  21. Segment(y_1, y_2) → s
  22. Segment(y_5, y_6) → t
  23. Angle(N, A, N') → γ
  24. Segment(A, N') → f_1
  25. Segment(N', C) → g
  26. Angle(A, C, N') → β
  27. Point({γ / °, (100 * sin(γ))}) → E