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Cosine and Tangent Demo

Cosine and Tangent Demo
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2017-09-10 00:42
FunctionTrigonometryGeometric Construction
This example demonstrates the graphs of cosine and tangent functions along with their related geometric properties. It involves core math concepts like trigonometric functions, similarity transformation, parabola, dilation, and tangent lines. The construction uses GeoGebra commands such as OrthogonalLine, Point, Rotate, Angle, Ray, Intersect, Polygon, and Segment. Suitable for high school mathematics education to understand trigonometric function graphs and properties, as well as the application of geometric transformations.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, yAxis) → f
  2. Point(f) → B
  3. OrthogonalLine(B, f) → g
  4. Rotate(B, α, A) → B'
  5. Angle(B, A, B') → β
  6. Ray(A, B') → h
  7. Intersect(h, g) → C
  8. Polygon(B, C, A) → poly1, a, b, c
  9. Segment(C, B) → i
  10. Segment(A, C) → j
  11. Segment(A, B) → k