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Tangent Definition and Graph

Tangent Definition and Graph
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2015-06-21 00:35
VectorFunctionTrigonometry
This example dynamically illustrates the concept of a tangent. It proves that tan = sin/cos by adjusting the angle. It involves core math concepts such as trigonometry, unit circle, and vectors. Using GeoGebra commands like Intersect, Circle, Line, Point, Segment, Textfield, Ray, etc., it constructs dynamic mathematical graphics. Suitable for high school math 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