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Trigonometry and Integral Demonstration

Trigonometry and Integral Demonstration
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2018-12-22 06:36
CircleVectorTrigonometryIntegralGeometric Construction
In collections Mapping Diagrams: From AB to C&DE, Resource
This example demonstrates the geometric relationship between trigonometric functions, integral calculations, and properties of incircles, medians, and secants. It involves core math concepts like trigonometry, integration, circle properties, medians, and secants. Construction highlights include Point, Vector, Segment, Sequence, and Zip commands from GeoGebra. Suitable for high school mathematics education to understand the integration of trigonometry and geometry.

GeoGebra Commands & Parameters

  1. Point(yAxis) → a
  2. Vector(a, B) → u
  3. Segment(C, D) → e
  4. Vector(E, F) → v
  5. Vector(G, H) → w
  6. Segment(f_x, J) → j
  7. Sequence(h - π, h + π, π / 6) → x_*
  8. Zip((k, f(k)), k, x_*) → list1
  9. Zip(Vector[(0, k), (2, f(k))], k, x_*) → list2
  10. Zip(Segment[(i, f(i)), ((2 * h) - i, f((2 * h) - i))], i, x_*) → list3
  11. Zip(Segment[(i, f(i)), (π - i, f(π - i))], i, x_*) → supl
  12. Zip(Vector[(0, t), (1, s(t))], t, x_*) → l1
  13. Zip(Vector[(1, s(t)), (2, f(t))], t, x_*) → l2
  14. Vector(a, L) → m
  15. Vector(L, B) → n
  16. Vector(E, M) → q
  17. Vector(M, B) → r
  18. Vector(C, N) → t
  19. Vector(N, O) → u_1