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Trigonometry and Vectors

Trigonometry and Vectors
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2017-02-26 05:18
VectorFunctionTrigonometry
This example demonstrates the basic concepts of trigonometric functions and vectors, and their applications. By constructing the graphs of trigonometric functions and related geometric figures, it helps students understand the properties of trigonometric functions and vector operations. Commands used include Element, Point, Vector, Segment, Sequence, Textfield, Derivative, Zip, etc. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Element(TrigL, TrigFn) → f
  2. Point(yAxis) → a
  3. Vector(a, f_a) → u
  4. Segment(C_1, D) → e
  5. Vector(E, F) → v
  6. Sequence((k, f(k)), k, C - π, C + π, 0.5235987755982988) → list1
  7. Sequence(Vector[(0, k), (2, f(k))], k, C - π, C + π, 0.5235987755982988) → list2
  8. Sequence(Segment[(i, f(i)), ((2 * C) - i, f((2 * C) - i))], i, C - π, C, 0.5235987755982988) → list3
  9. Vector(G, H) → w
  10. Segment(f_x, J) → j
  11. Sequence(Segment[(i, f(i)), (π - i, f(π - i))], i, 0, 3.141592653589793, 0.5235987755982988) → supl
  12. Textfield(B) → inputBox1
  13. Textfield(C) → InputBox1
  14. Derivative(f) → f'
  15. Vector(f_a, (2, y(f_a) + f'(y(a)))) → h
  16. Sequence(-5, 5) → nlist
  17. Zip(((1 / B * ((2 * k) + 1)) * π / 2) - C / B, k, nlist) → xtrslist
  18. Zip((z, f(z)), z, xtrslist) → xtrspts
  19. Zip(((1 / B * k) * π) - C / B, k, nlist) → xrtclist
  20. Zip((z, f(z)), z, xrtclist) → xtrcpts
  21. Textfield(A) → InputBox2
  22. Segment(a, Q) → l
  23. Segment(a, P) → m
  24. Vector(P, f_a) → n
  25. Vector(Q, f_a) → p
  26. Segment(f_x, M) → s
  27. Segment(f_x, R) → q