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Sine Graph

Sine Graph
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2013-04-24 02:37
VectorFunctionTrigonometry
This example demonstrates the construction of the sine graph starting from a unit circle. Key mathematical concepts include the sine function, unit circle, and vectors. Using GeoGebra commands such as Point, Segment, Angle, etc., the construction process of the sine graph is dynamically shown. Suitable for high school mathematics education and learning the properties of the sine function.

GeoGebra Commands & Parameters

  1. Point(c) → P
  2. Segment(P, O) → a
  3. Segment(B, O) → b
  4. Angle(B, O, P) → α
  5. Text("30°") → text1
  6. Text("60°") → text2
  7. Text("90°") → text3
  8. Text("120°") → text4
  9. Text("150°") → text5
  10. Text("180°") → text6
  11. Text("360°") → text7
  12. Text("210°") → text8
  13. Text("240°") → text9
  14. Text("270°") → text10
  15. Text("300°") → text11
  16. Text("330°") → text12
  17. Text("θ = " * α) → text13
  18. Text("P=(" * e * "," * d * ")") → text14
  19. Text("y = sin θ") → text15