MathPlotAI Logo MathPlotAI

Open Middle: Build a Trig Equation

Open Middle: Build a Trig Equation
Loading the math board and drawing, please wait…
2022-01-04 10:55
FunctionTrigonometryCoordinate GeometryGeometric Construction
In collections Creating Trig Equations: Open Middle Exercises
This example demonstrates how to construct and solve trigonometric equations using GeoGebra. It involves core math concepts like trigonometric functions, geometric constructions, parametric equations, and analytical geometry. Key GeoGebra commands and objects used include Textfield, Intersect, SurdText, Mode, If, and objects like j, d, e, i, c, b, a, h for interactive construction. Suitable for high school students for teaching and exploring solutions to trigonometric equations and their geometric interpretations.

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, (1.5707963267948966, 3)) → A
  7. SurdText(x(A) / π) → text4
  8. Mode(l1) → l2
  9. If(Length[l2] ≟ 0, "No digits repeat.", "Repeated digits exist.") → text7
  10. Textfield(i) → InputBox6
  11. Textfield(j) → InputBox7

AI Drawing Prompt Reference

Draw a trigonometric function graph using parameters from InputBox1 to InputBox7. First, input the function parameters, then plot the function graph. Find the intersection of the graph with the line y=3, and display the x-coordinate divided by π. Check if there are any repeated digits in the graph and show the result accordingly.
The prompt above was compiled from the original drawing commands and is for reference only.