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Dynamic Definition of Tangent Function

Dynamic Definition of Tangent Function
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2016-08-12 07:30
FunctionTrigonometryCoordinate Geometry
This example demonstrates the dynamic definition of the tangent function using points on the unit circle. Key mathematical concepts include trigonometric functions, the unit circle, and tangent lines. It utilizes commands such as Circle, Line, Point, Segment, Textfield, Ray, and If in GeoGebra. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Circle(O, 1) → c
  3. Line(O, W) → b
  4. Intersect(a, b) → T
  5. Point(xAxis) → A
  6. Segment(W, X) → SIN
  7. Segment(O, X) → COS
  8. Segment(O, A) → OA
  9. Segment(A, T) → BT
  10. Textfield(speed) → SPD
  11. Ray(O, W') → RayOW'
  12. Ray(O, W) → RayOW
  13. Textfield(t) → tEq
  14. If(togA ≟ 1, "Turn Animation Off", "Turn Animation On") → ToggleAnimation
  15. If(togTr ≟ 1, "Stop Traces", "Show Traces") → Traces