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Sine Function and Radians

Sine Function and Radians
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2020-05-29 08:58
AngleFunctionTrigonometryGeometric ConstructionGraphing
This example demonstrates the relationship between the sine function graph and radian measure angles. It involves core math concepts like sine function, radian measure, and the correspondence between trigonometric values and decimal numbers. Construction highlights GeoGebra commands: Point, Line, Circle, Intersect, Rotate, CircleArc, Angle, Segment, Distance, OrthogonalLine, Length, Midpoint. Suitable for middle school students and above or math enthusiasts learning about trigonometric functions and radian measure.

GeoGebra Commands & Parameters

  1. Point(yAxis) → O
  2. Line(B, O) → a
  3. Circle(O, 1) → c
  4. Intersect(c, a, 2) → C
  5. Rotate(C, α, O) → D
  6. CircleArc(O, J, D) → k
  7. Angle(C, O, D) → β
  8. Segment(O, D) → b
  9. Distance(D, a) → d
  10. OrthogonalLine(D, a) → e
  11. Intersect(a, e) → A
  12. Length(k) → RadianAlpha
  13. Segment(D, A) → g
  14. Segment(A_1, D_1) → h
  15. Midpoint(D, A) → E
  16. Midpoint(A_1, D_1) → F
  17. Point(xAxis) → G
  18. Segment(G, A_1) → i
  19. Intersect(c, a, 2) → H
  20. Intersect(c, a, 1) → I
  21. Segment(I, H) → j
  22. Segment(O, A) → l