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Unit Circle Demonstration

Unit Circle Demonstration
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2019-10-17 14:01
CircleTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the unit circle, illustrating the relationship between angles, trigonometric values (sine, cosine), and points on the circle. It involves core concepts like the unit circle, trigonometric functions, angles, and coordinate geometry. The construction uses GeoGebra commands such as Intersect, Circle, Rotate, Angle, Segment, OrthogonalLine, and CircleArc. Suitable for high school students to understand trigonometric definitions and coordinate geometry applications.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Intersect(c, xAxis, 2) → B
  4. Rotate(B, θ, A) → B'
  5. Angle(B, A, B') → α
  6. Segment(A, B') → b
  7. OrthogonalLine(B', xAxis) → d
  8. OrthogonalLine(B', xAxis) → a
  9. Intersect(a, xAxis) → C
  10. Segment(A, C) → e
  11. Segment(C, B) → f
  12. Segment(B', C) → g
  13. CircleArc(A, B, B') → k