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Law of Cosine: What is the Excess?

Law of Cosine: What is the Excess?
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2020-02-03 08:55
TriangleTrigonometryGeometric Construction
This example demonstrates the relationship between angles and sides in a triangle using the Law of Cosine. Key mathematical concepts include trigonometry and the Law of Cosine. Construction highlights include using the Sequence command to generate a series of points, the Point command to create points, the Polygon command to draw polygons, the Angle command to measure angles, and the FitSin command to fit a sine function. Suitable for high school mathematics education and students learning the Law of Cosine.

GeoGebra Commands & Parameters

  1. Sequence(((a * cos(w)), (a * sin(w))), w, π / 36, π - π / 36, π / 36) → l1
  2. Point(l1) → B
  3. Polygon(A, B, C) → t1, c, a_1, b_1
  4. Angle(A, C, B) → angleC
  5. Sequence((w, (((-2 * a) * b) * cos(w))), w, 5°, 175°, 5°) → l2
  6. FitSin(l2) → f
  7. Simplify(g) → h
  8. LaTeX(h, true, true) → text2

AI Drawing Prompt Reference

Draw a triangle ABC where angle C is calculated using the Law of Cosines. Generate a series of points using the Law of Cosines and use these points to draw the triangle. Then measure the size of angle C and fit a sine curve.
The prompt above was compiled from the original drawing commands and is for reference only.