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Graph of sin(x) by Eric Block

Graph of sin(x) by Eric Block
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2013-08-06 19:23
FunctionTrigonometryGeometric ConstructionGraphing
This example demonstrates how to plot the graph of the sine function y=sin(x). Key math concepts include trigonometric functions, coordinate systems, and function graphs. Construction highlights involve GeoGebra commands/objects like Intersect (intersection), Circle, Function, Segment, and Angle. Suitable for high school students learning about plotting and properties of trigonometric function graphs.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Function(sin(x), 0, 6.283185307179586) → f
  4. Segment(B, C) → b
  5. Segment(A, B) → d
  6. Segment(D, A) → e
  7. Angle(D, A, B) → α

AI Drawing Prompt Reference

Draw the graph of the sine function y=sin(x), showing the coordinate system and unit circle. First, plot the intersection point of the x-axis and y-axis, then draw a unit circle centered at this point. Next, plot the sine function curve from 0 to 2π. Then, draw line segments from the intersection point of the unit circle and x-axis to the sine curve, and from the center to this intersection point. Finally, connect the center to a point on the sine curve and label the angle, demonstrating the geometric meaning of the sine function.
The prompt above was compiled from the original drawing commands and is for reference only.