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Sine and Unit Circle

Sine and Unit Circle
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2016-12-01 07:44
CircleTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the geometric relationship between the sine function and the unit circle. It involves core math concepts like the unit circle, trigonometric functions, angles, and coordinate geometry. Construction highlights include using GeoGebra commands such as Circle, Point, Polygon, Angle, Segment, Distance, and IsInRegion. Suitable for high school students learning about the definition of trigonometric functions and applications of the unit circle.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Polygon(D, A, C) → poly1, adj, hyp, opp
  4. Angle(B, A, C) → α
  5. Segment(A, D) → f
  6. Segment(D, C) → g
  7. Segment(C, A) → h
  8. Distance(D, C) → a
  9. IsInRegion(C, Polygon[(-1, 0), (-1, -1), (1, -1), (1, 0)]) → cpoint
  10. IsInRegion(D, Polygon[(0, 1), (-1, 1), (-1, -1), (0, -1)]) → dpoint