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Cosine Demonstration

Cosine Demonstration
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2014-01-03 00:50
TrigonometryGeometric Construction
In collections Trigonometry: Basic and More
This example dynamically shows the cosine value of angle α by moving points A and B, involving core concepts of trigonometry, angle measurement, and the cosine theorem. It uses GeoGebra commands like Polygon and Angle, with objects A, B, C, P, α. Suitable for high school mathematics teaching to visually understand the relationship between the cosine function and angles.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → P, c, a, b
  2. Angle(C, A, B) → α
  3. Angle(B, C, A) → β

AI Drawing Prompt Reference

Draw a triangle with one side on the horizontal axis and one vertex moving up and down along a vertical line to demonstrate the cosine value of an angle. The triangle's other two vertices are fixed, forming a dynamic angle that changes as the vertex moves. Label the triangle's vertices and the two non-right angles, and display the measure of one angle and its cosine value.
The prompt above was compiled from the original drawing commands and is for reference only.