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Trigonometric Function Graphing Exercise (2)

Trigonometric Function Graphing Exercise (2)
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2021-10-21 19:27
FunctionTrigonometryGraphing
This example demonstrates how to graph trigonometric functions, focusing on sine and cosine. Key mathematical concepts include trigonometric functions, function graphs, and angle transformations. Construction involves GeoGebra commands such as Textfield, Mode, Dilate, Vector, Length, and If, using objects like l, k, g, f, d, c, b, a, e, h, i1, i2, i3, i4, i6, i7, text1, A, i, D, l1, l2, j, A', u, p, q, r, s, i8_{1}, B, C, i93, text2, i8, i9, text2_{1}, text2_{2}, m, text3. Suitable for middle or high school mathematics to understand dynamic changes in trigonometric graphs and practical applications.

GeoGebra Commands & Parameters

  1. Textfield(a) → i1
  2. Textfield(b) → i2
  3. Textfield(c) → i3
  4. Textfield(d) → i4
  5. Textfield(f) → i6
  6. Textfield(g) → i7
  7. Mode(l1) → l2
  8. Dilate(A, If[0 < j ≤ 1, 1 - j, 0], D) → A'
  9. Vector(A, A') → u
  10. Textfield(k) → i8
  11. Textfield(l) → i9
  12. Length(If[Length[l2] ≟ 0, "No digits repeat!", "You have repeated digits."]) → m
  13. If(Length[l2] ≟ 0, "No digits repeat!", "You have repeated digits.") → text3

AI Drawing Prompt Reference

Create a dynamic trigonometric graphing exercise layout. Provide editable inputs for four parameters a, b, c, d, plus two more inputs f and g. Use a base parameter l1 to set the function mode, then apply a conditional dilation/linear scaling rule (based on the given range) to obtain a transformed point A'. Construct a vector u by connecting the original point A to the transformed point A'. Also include editable display inputs k and l, and add a status text message that checks the length-based condition: show “No digits repeat!” when the condition passes, otherwise show “You have repeated digits.” Arrange everything to support observing how the angle-related transformation affects the trigonometric graph.
The prompt above was compiled from the original drawing commands and is for reference only.