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Sine and Cosine Functions by Miguel Bayona

Sine and Cosine Functions by Miguel Bayona
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2019-10-29 06:34
CircleFunctionTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the geometric interpretation of sine and cosine functions on the unit circle. Key math concepts include trigonometric functions, unit circle, right triangles, and coordinate geometry. It is constructed using GeoGebra commands like Point, Circle, OrthogonalLine, Intersect, and Segment to illustrate the relationship between function graphs and the unit circle. Suitable for high school students learning trigonometry and analytical geometry.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Circle(A, r) → c
  3. OrthogonalLine(P, xAxis) → h
  4. Intersect(h, xAxis) → B
  5. Segment(B, P) → i
  6. Segment(P, Q) → j
  7. Segment(A, P) → k
  8. Segment(A, B) → l
  9. Point(c) → C
  10. Point(c) → D
  11. Intersect(c, xAxis, 1) → E
  12. Intersect(c, xAxis, 2) → F
  13. Segment(D, C) → m
  14. Segment(F, E) → a