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Trigonometric Sequence

Trigonometric Sequence
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2017-02-06 02:52
FunctionTrigonometrySequence
In collections Mapping Diagrams: From AB to C&DE, Resource
This example demonstrates the generation and visualization of a trigonometric sequence. Key mathematical concepts include trigonometric functions, sequences, and their graphical representation. Using GeoGebra commands such as Sequence, Point, and Vector, the dynamic generation process of the sequence can be shown. Suitable for high school mathematics education, particularly in trigonometry and sequence courses.

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) → SourcePtsSupMD
  11. Zip((sol1 + k, f(sol1 + k)), k, nums) → TrigGraphpts
  12. Zip((sol2 + k, f(sol2 + k)), k, nums) → TrigGraphPtsSup
  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

AI Drawing Prompt Reference

Draw a trigonometric sequence graph, including the graphs of sine and cosine functions. Start by creating a point A on the y-axis, then draw vectors u and v. Input a function expression f, generate a series of angle values, and based on these values and function f, create point sets for sine and cosine functions, and finally connect these points to form the graphs of sine and cosine functions.
The prompt above was compiled from the original drawing commands and is for reference only.