Tangent and Unit Circle by Brian Paulson

Tangent and Unit Circle by Brian Paulson
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2015-02-17 22:48
This example demonstrates the geometric relationship and dynamic changes between a tangent and a unit circle. It involves core math concepts like tangent, unit circle, trigonometry, derivatives, and coordinate geometry. Construction highlights include GeoGebra commands: Intersect, Point, Circle, Angle, Segment, Tangent, Line. Suitable for high school and above students to understand the integration of calculus and geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c
  4. Point(c) → C
  5. Angle(B, A, C) → α
  6. Segment(A, C) → a
  7. Tangent(B, c) → b,
  8. Line(A, C) → d
  9. Intersect(b, d) → E
  10. Segment(A, E) → e
  11. Segment(E, B) → f