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Sine, Cosine, and Tangent

Sine, Cosine, and Tangent
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2015-10-23 01:28
CircleFunctionTrigonometry
This example demonstrates the graphs of sine, cosine, and tangent functions. It involves core concepts of trigonometry, showing the properties of these functions by constructing points on a circle and their tangents. Commands used include Intersect, Circle, Point, Segment, OrthogonalLine, and Tangent. Suitable for high school mathematics education and students learning trigonometric functions.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, B) → c_1
  3. Point(c_1) → C
  4. Segment(A, C) → a_1
  5. OrthogonalLine(C, xAxis) → b
  6. Tangent(C, c_1) → d,
  7. Intersect(b, xAxis) → D
  8. Segment(C, D) → e
  9. Segment(D, A) → f
  10. Intersect(d, xAxis) → E
  11. Segment(C, E) → g

AI Drawing Prompt Reference

Draw a unit circle centered at the origin, then take a point C on the circle, draw a line segment from the origin to point C, construct a perpendicular line from point C to the x-axis, then construct a tangent line at point C, find the intersection of the tangent line with the x-axis as point D, draw a line segment from point C to point D, then draw a line segment from point D to the origin, finally construct the intersection of the tangent line with the x-axis as point E, and draw a line segment from point C to point E.
The prompt above was compiled from the original drawing commands and is for reference only.