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Unit Circle and Trigonometric Ratios by Jonathan Adams

Unit Circle and Trigonometric Ratios by Jonathan Adams
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2016-05-02 09:54
CircleTrigonometryGeometric Construction
This example demonstrates the trigonometric ratios on the unit circle. Key mathematical concepts include trigonometric functions and the unit circle. Using GeoGebra commands such as Point, Intersect, Angle, Segment, etc., the example constructs points and angles on the unit circle to illustrate sine, cosine, and tangent values. Suitable for high school mathematics education and learning.

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