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Trigonometric Ratios - Unit Circle Definitions

Trigonometric Ratios - Unit Circle Definitions
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2016-05-02 10:02
CircleAngleFunctionTrigonometryGeometric Construction
This example demonstrates the definitions of trigonometric ratios on the unit circle. It involves core concepts like trigonometric functions, unit circle, angles, and right triangle side ratios. Construction uses GeoGebra commands such as Point, Intersect, Angle, Segment, OrthogonalLine, Tangent, Line to build the unit circle, points, angles, segments, and tangents. Suitable for high school mathematics teaching, helping students visualize the connection between trigonometric functions and the unit circle for a deeper understanding of their definitions.

GeoGebra Commands & Parameters

  1. Point(c) → B
  2. Intersect(c, xAxis, 2) → C
  3. Angle(C, A, B) → θ
  4. Segment(A, B) → b
  5. OrthogonalLine(B, xAxis) → a
  6. Intersect(a, xAxis) → D
  7. Segment(B, D) → d
  8. Segment(A, D) → e
  9. Angle(B, D, A) → β
  10. Tangent(C, c) → h,
  11. Line(A, B) → i
  12. Intersect(h, i) → E
  13. Segment(A, E) → j
  14. Segment(E, C) → k
  15. Segment(C, A) → l
  16. Angle(E, C, A) → γ