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Unit Circle by toby mcfarlane

Unit Circle by toby mcfarlane
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2016-03-16 10:08
CircleTrigonometryGeometric Construction
This example demonstrates the construction of a unit circle. A unit circle is a circle with a radius of 1, which is crucial in trigonometry. Using GeoGebra commands such as Intersect, Circle, and Point, the example dynamically shows the relationship between points on the unit circle, their angles, and coordinates. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Point(c) → B
  4. OrthogonalLine(B, xAxis) → a
  5. Intersect(a, xAxis) → C
  6. Polygon(C, A, B) → poly1, b, c_1, a_1
  7. Intersect(c, xAxis, 1) → D
  8. Intersect(c, xAxis, 2) → E
  9. Angle(E, A, B) → α