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Open Middle: Trigonometric Equation (1)

Open Middle: Trigonometric Equation (1)
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2022-01-23 10:19
FunctionTrigonometryGeometric ConstructionGraphing
This example demonstrates how to construct and solve trigonometric equations using GeoGebra, visualizing their solutions. Core math concepts include trigonometric functions, equation solving, function graphs, and symmetry. Construction highlights involve commands like Textfield, Intersect, SurdText, Mode, Segment, If, along with interactive sliders and input boxes. Suitable for high school mathematics education to understand trigonometric equation solving and graph characteristics.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Textfield(b) → InputBox2
  3. Textfield(c) → InputBox3
  4. Textfield(d) → InputBox4
  5. Textfield(e) → InputBox5
  6. Intersect(g, eq1, (0.5817764173314431, 4)) → A
  7. SurdText(x(A) / π) → text4
  8. Mode(l1) → l2
  9. Textfield(i) → InputBox6
  10. Textfield(j) → InputBox7
  11. Segment((b - c, 0), (b - c, p(b - c))) → m
  12. If(Length[l2] ≟ 0, "No digits repeat!", "Repeated digits exist.") → text7

AI Drawing Prompt Reference

Draw a sine function graph using input boxes for parameters a, b, c, d, e. Then plot the function graph and find the intersection with the x-axis, displaying the radian value at the intersection. Next, draw a vertical line segment whose length is determined by inputs i and j, and indicate whether the length contains repeated digits.
The prompt above was compiled from the original drawing commands and is for reference only.