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Graphing Sine and Cosine Functions by cemccourseware

Graphing Sine and Cosine Functions by cemccourseware
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2019-02-16 04:02
FunctionTrigonometryGeometric ConstructionSlider AnimationGraphing
This example demonstrates how to graph sine and cosine functions using GeoGebra. The core math concepts involved include trigonometric functions, function graphs, symmetry, and transformations. Key GeoGebra commands and objects used are UnicodeToLetter, Polygon, LaTeX, Segment, Translate, HowDidIDo, TryAnother, xmark, cmark, incorrect, correct, isDone, bottomLeft, topRight, viewbox, showFeedback, b, f, isSinFunc, k, g, h, lblB, lblCos, lblCosBx, lblSin, lblSinBx, MainInstruc, SpecInstruc, legendAnchor1, legendSegment1, legendSegment2. Suitable for high school students learning about trigonometric functions and function graphs.

GeoGebra Commands & Parameters

  1. UnicodeToLetter(10007) → xmark
  2. UnicodeToLetter(10003) → cmark
  3. Polygon({bottomLeft, (x(bottomLeft), y(topRight)), topRight, (x(topRight), y(bottomLeft))}) → viewbox
  4. LaTeX(("b=" * b)) → lblB
  5. LaTeX("f(x)=\cos(x°)") → lblCos
  6. LaTeX((("g(x)=\cos(" * b) * "x°)")) → lblCosBx
  7. LaTeX("f(x)=\sin(x°)") → lblSin
  8. LaTeX((("g(x)=\sin(" * b) * "x°)")) → lblSinBx
  9. LaTeX("\text{\textbf{Question: }Given \(f(x)\) and \(g(x)=f(bx)\), how do the properties of \(g(x)\) change as \\the value of \(b\) changes? Consider amplitude, period, equation of the axis, and range. }") → MainInstruc
  10. LaTeX("\text{\textbf{Instructions: }Move the slider and observe the changes to the graph of \(g(x)\).\\Click `Try Another' to experiment with a different function. ") → SpecInstruc
  11. Segment(legendAnchor1, legendAnchor1 + (90, 0)) → legendSegment1
  12. Translate(legendSegment1, (0, -2)) → legendSegment2