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Cosine Ratio

Cosine Ratio
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2017-07-12 00:30
TrigonometryCoordinate Geometry
This example illustrates the concept of cosine ratio. It involves the cosine value in trigonometry, demonstrating the geometric meaning of the cosine ratio through the construction of triangle sides and angles. Commands used include Segment (line segment), OrthogonalLine (perpendicular line), Point (point), and Angle (angle). Suitable for middle school and above students to learn trigonometry and geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → Opp
  2. OrthogonalLine(B, Opp) → b
  3. Point(b) → C
  4. Segment(C, B) → Adj
  5. Segment(C, A) → Hyp
  6. Angle(A, C, B) → α
  7. Angle(C, B, A) → β

AI Drawing Prompt Reference

Draw a right triangle ABC with angle B as the right angle. Construct a line segment AB, then draw a perpendicular line from B to intersect at C, and connect AC and BC to form the hypotenuse AC. Measure the angles at A and C to illustrate the cosine ratio.
The prompt above was compiled from the original drawing commands and is for reference only.