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Example of Trigonometric Function Symmetry

Example of Trigonometric Function Symmetry
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2017-02-05 02:15
FunctionTrigonometryCoordinate Geometry
This example demonstrates the symmetry of trigonometric functions. Key mathematical concepts include the properties and graphs of trigonometric functions. Using GeoGebra commands such as Point, Vector, Segment, Sequence, the graph of a trigonometric function can be constructed and its symmetry observed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(yAxis) → a
  2. Vector(a, B) → u
  3. Segment(C, D) → e
  4. Vector(E, F) → v
  5. Sequence((k, f(k)), k, h - π, h + π, 0.5235987755982988) → list1
  6. Sequence(Vector[(0, k), (2, f(k))], k, h - π, h + π, 0.5235987755982988) → list2
  7. Sequence(Segment[(i, f(i)), ((2 * h) - i, f((2 * h) - i))], i, h - π, h, 0.5235987755982988) → list3
  8. Vector(G, H) → w
  9. Segment(f_x, J) → j
  10. Sequence(Segment[(i, f(i)), (π - i, f(π - i))], i, 0, 3.141592653589793, 0.5235987755982988) → supl