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Values on the Unit Circle

Values on the Unit Circle
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2015-12-30 11:05
CircleTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the relationship between points on the unit circle and their corresponding trigonometric values. Core math concepts include the circle, trigonometric functions, and coordinate geometry. Construction involves GeoGebra commands like Intersect, Circle, Mirror, Point, Segment, and Angle. Suitable for high school mathematics education to understand the connection between trigonometric functions and the unit circle, as well as applications in coordinate geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Mirror(B, yAxis) → B'
  4. Mirror(B, xAxis) → B'_1
  5. Mirror(B', xAxis) → B''
  6. Mirror(C, yAxis) → C'
  7. Mirror(C', xAxis) → C''
  8. Mirror(C'', yAxis) → C'''
  9. Mirror(D, yAxis) → D'
  10. Mirror(D', xAxis) → D''
  11. Mirror(D'', yAxis) → D'''
  12. Point(c) → I
  13. Segment(I, A) → g
  14. Angle(E, A, I) → α