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Unit Circle Construction

Unit Circle Construction
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2018-07-25 17:32
CircleTrigonometryGeometric Construction
This example demonstrates the construction of a unit circle. Key mathematical concepts include circles, trigonometric functions, and angles. Using GeoGebra commands such as Intersect, Circle, and Point, the example dynamically shows the points on the unit circle and their corresponding sine values. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Point(c) → I
  4. Segment(I, A) → g
  5. Angle(E, A, I) → α
  6. OrthogonalLine(I, xAxis) → h
  7. Intersect(h, xAxis) → Q
  8. Line(A, Q) → i
  9. Segment(I, Q) → j
  10. Segment(A, Q) → k
  11. OrthogonalLine(I, g) → f
  12. Intersect(f, xAxis) → B
  13. Segment(I, B) → p