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Trigonometric Sequence Transformation

Trigonometric Sequence Transformation
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2019-01-12 01:31
VectorTrigonometrySequence
This example demonstrates the transformation process of trigonometric sequences. Key mathematical concepts include trigonometric functions, sequences, and vectors. Using GeoGebra commands such as Point, Vector, and Sequence, the generation and transformation of sequences can be dynamically displayed. Suitable for high school mathematics education, particularly for learning trigonometric functions and sequences.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A_1
  2. Vector(A_1, B_1) → u
  3. Textfield(f) → inputBox1
  4. Vector(A_1, B_2) → v
  5. Vector(B_2, A_2) → w
  6. Vector(x_*, C_1) → z
  7. Segment(D_1, X) → j
  8. Sequence(t, t, (-6 * π / B), (6 * π / B), (2 * π / B)) → nums
  9. Zip((0, sol1 + k), k, nums) → SourcePtsMD
  10. Zip((0, sol2 + k), k, nums) → SourcePts2MD
  11. Zip((sol1 + k, f(sol1 + k)), k, nums) → TrigGraphpts
  12. Zip((sol2 + k, f(sol2 + k)), k, nums) → TrigGraphPts2
  13. Zip(Vector[(0, sol1 + k), (2, f(sol1 + k))], k, nums) → TrigMD
  14. Zip(Vector[(0, sol2 + k), (2, f(sol2 + k))], k, nums) → TrigMDSup