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Limits of Trigonometric Functions

Limits of Trigonometric Functions
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2017-08-12 23:58
FunctionTrigonometryLimit
This example demonstrates the concept of limits of trigonometric functions. By dynamically adjusting the angle, observe the limit values of sine and cosine functions at specific points. Key mathematical concepts include trigonometric functions, limits, and function graphs. GeoGebra commands such as Intersect, Circle, Segment, and OrthogonalLine are used in construction. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Circle(O, 10) → c
  3. Intersect(c, xAxis, 2) → B
  4. Segment(A, O) → f
  5. OrthogonalLine(A, xAxis) → g
  6. Intersect(g, xAxis) → C
  7. Segment(A, C) → h
  8. OrthogonalLine(B, xAxis) → i
  9. Line(O, A) → j
  10. Intersect(j, i) → D
  11. Segment(D, A) → k
  12. Segment(D, B) → l
  13. Angle(B, O, A) → α
  14. Point(f) → E
  15. Point(xAxis) → F
  16. CircleArc(O, F, E) → d
  17. CircleArc(O, B, A) → e
  18. Segment(O, C) → m
  19. Point(d) → G
  20. Point(h) → H
  21. Point(m) → I
  22. Point(e) → J
  23. Point(l) → K
  24. Point(f) → L