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Multiple Angle Sine Solutions Demo

Multiple Angle Sine Solutions Demo
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2015-01-28 01:57
FunctionTrigonometryGeometric Construction
This example demonstrates the solutions and graphical intersections of multiple angle sine functions. It involves core math concepts like trigonometric functions, angle calculations, and function graph intersections. GeoGebra commands used include Intersect, Point, Circle, Element, LaTeX, and Sequence, with objects like A, B, c, n, k, text1, k_1, r, r_1, r_2, text2, text3, list2, list3, f, C. Suitable for high school mathematics teaching to understand trigonometric properties and solving equations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c
  4. Element(r, 1) → r_1
  5. Element(r, 2) → r_2
  6. LaTeX(n) → text2
  7. LaTeX(k) → text3
  8. Sequence((cos((r_1 + ((2 * π) * i)) / n), sin((r_1 + ((2 * π) * i)) / n)), i, 0, n - 1) → list2
  9. Sequence((cos((r_2 + ((2 * π) * i)) / n), sin((r_2 + ((2 * π) * i)) / n)), i, 0, n - 1) → list3
  10. Intersect(f, 0, (-349.30896946516424, 4.82058837292243e-10)) → C