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Trigonometric Identities and the Unit Circle

Trigonometric Identities and the Unit Circle
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2016-11-22 15:51
CircleTrigonometryGeometric Construction
This example demonstrates trigonometric identities using the unit circle. Key mathematical concepts include trigonometric functions, the unit circle, and the relationship between angles. Using GeoGebra commands such as Intersect, Circle, and Point, dynamic displays of trigonometric properties and the unit circle are achieved. 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) → f
  5. Intersect(f, xAxis) → C
  6. Line(A, B) → g
  7. Segment(A, C) → h
  8. Segment(B, C) → i
  9. Tangent(yAxis, c) → j, k
  10. Intersect(c, k, 1) → D
  11. Intersect(g, k) → E
  12. Segment(D, E) → l
  13. Tangent(xAxis, c) → m, n
  14. Intersect(c, m, 1) → F
  15. Intersect(g, m) → G
  16. Segment(F, G) → p
  17. Segment(A, E) → q
  18. Segment(A, G) → r
  19. Angle(D, A, B) → θ