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Circular Functions and Ordinate Addition

Circular Functions and Ordinate Addition
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2019-04-29 12:05
CircleFunctionTrigonometry
This example demonstrates the concept of circular functions and the addition of ordinates. Key mathematical concepts include circular functions and the addition of ordinates. Using GeoGebra commands such as Point, Circle, Textfield, Segment, and Sequence, the construction of circular function graphs and the observation of ordinate addition effects are achieved. Suitable for high school mathematics education or learning.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Circle(A, B) → c
  3. Circle(B, C) → d
  4. Textfield(α) → InputBox1
  5. Textfield(β) → InputBox2
  6. Segment(C, D) → g
  7. Sequence((x(A) + (α * cos((π * i / ((10 * n))))) + (β * cos(((5 * i / ((10 * n))) * π) + π / 2)), y(A) + (α * sin((π * i / ((10 * n))))) + (β * sin(((5 * i / ((10 * n))) * π) + π / 2))), i, 1, (20 * n)) → l1

AI Drawing Prompt Reference

Draw a circle and mark two points on it. Using these points, draw two circles of different sizes. Add two input boxes for angles α and β. Based on these angles, generate two line segments and calculate a sequence of points using trigonometric functions. Connect these points in order to illustrate the effects of circular functions and ordinate addition.
The prompt above was compiled from the original drawing commands and is for reference only.