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Sine Curve and Parametric Equation

Sine Curve and Parametric Equation
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2017-01-27 10:32
TrigonometryParametric EquationGeometric Construction
This example demonstrates the geometric construction of a sine curve and its parametric equation. Key mathematical concepts include trigonometry and parametric equations. Using GeoGebra commands such as Sequence, Segment, and LaTeX, the generation process of the sine curve can be dynamically shown. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Sequence(Segment[(i, f(i)), (i + 1, f(i))], i, -4, x(A), 1) → list1
  2. Sequence(Segment[(i, 0), (i, f(i))], i, -4, x(A), 1) → list2
  3. Sequence(Segment[(i, f(i - 1)), (i, f(i))], i, -4, x(A), 1) → list3
  4. Sequence((i, f(i)), i, -4, x(A), 1) → list4
  5. Segment((x(A), 0), A) → g
  6. LaTeX(f, true, true) → text1
  7. Sequence(Segment[(i, f(i)), (0, f(i))], i, -4, x(A), 1) → list5