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Sine, Cosine, and Tangent in the Unit Circle

Sine, Cosine, and Tangent in the Unit Circle
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2016-02-09 06:55
CircleTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates how to locate sine, cosine, and tangent in the unit circle. It involves core math concepts like the unit circle, trigonometric functions, and ratios. Construction highlights include using GeoGebra commands such as Intersect, Circle, OrthogonalLine, Point, Segment, Line, Polygon, and Angle. Suitable for high school students learning about the definition and application of trigonometric functions in the unit circle.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Circle(O, B) → c
  3. OrthogonalLine(B, xAxis) → a
  4. Point(c) → P
  5. Segment(O, P) → b
  6. OrthogonalLine(P, xAxis) → e
  7. OrthogonalLine(P, yAxis) → f
  8. Intersect(f, yAxis) → C
  9. Intersect(e, xAxis) → D
  10. Intersect(c, a, 1) → E
  11. Line(P, O) → d
  12. Intersect(a, d) → A
  13. Segment(A, E) → g
  14. Segment(O, D) → h
  15. Segment(P, D) → i
  16. Segment(C, O) → j
  17. Intersect(i, xAxis) → F
  18. Polygon(F, O, P) → poly1, p, f_1, o
  19. Angle(B, O, P) → θ