Cosine Spaghetti by [email protected]

Cosine Spaghetti by esliman@isp.cz
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2014-05-14 19:15
This example demonstrates the geometric construction of the cosine function's graph. It involves core mathematical concepts such as the cosine function, geometric mean, line segments, hypothesis testing, upper and lower sums or Riemann sums, and planes. The construction uses GeoGebra commands like Point, Circle, Segment, Intersect, Angle, OrthogonalLine, and Distance to create the visual representation. It is suitable for high school mathematics education, helping students understand the geometric meaning of function graphs and providing an intuitive introduction to integral concepts.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Circle(A, radius) → c
  3. Point(c) → B
  4. Segment(A, B) → a
  5. Intersect(c, xAxis) → C_1, D
  6. Segment(C_1, D) → b
  7. Angle(D, A, B) → α
  8. OrthogonalLine(B, b) → d
  9. Intersect(d, b) → C
  10. Distance(B, C) → distanceBE
  11. Segment(F, G) → f
  12. Segment((0, 0), (0, 0)) → t
  13. Segment(M, F) → i
  14. Segment(A, C) → k