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Introduction to Trigonometric Ratios by DrawingOnMath

Introduction to Trigonometric Ratios by DrawingOnMath
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2012-05-17 06:09
TriangleTrigonometryCoordinate Geometry
In collections Trig Ratios
This example allows students to explore trigonometric ratios by changing the angle of a right triangle. Key mathematical concepts include trigonometry and right triangles. It uses GeoGebra commands such as Segment, OrthogonalLine, Rotate, Angle, Line, Intersect, and Distance. Suitable for middle school and above students to learn the basic concepts and properties of trigonometric ratios.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. OrthogonalLine(B, a) → b
  3. Rotate(B, α, A) → B'
  4. Angle(B, A, B') → β
  5. Line(A, B') → c
  6. Intersect(b, c) → C
  7. Segment(A, C) → d
  8. Segment(B, C) → e
  9. Distance(B, C) → distanceBC
  10. Distance(A, C) → distanceAC
  11. Distance(B, A) → distanceBA

AI Drawing Prompt Reference

Draw a right triangle ABC with AB as the right angle side and BC as the hypotenuse. Change the angle at B by rotating point B and observe how the sine, cosine, and tangent of angle B change. Draw lines AB and B'C', find their intersection point C, then connect AC and BC, and measure the lengths of BC, AC, and AB.
The prompt above was compiled from the original drawing commands and is for reference only.