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Trigonometric Ratios by Pat Hubeny

Trigonometric Ratios by Pat Hubeny
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2020-01-26 07:16
TriangleAngleTrigonometry
This example demonstrates the trigonometric ratios in a triangle. It involves core concepts of trigonometry such as sine, cosine, and tangent. Using GeoGebra commands like Segment, OrthogonalLine, Point, Line, Intersect, Angle, a triangle is constructed and the relationship between its sides and angles is observed. Suitable for students at the middle school level and above to learn the basic properties of trigonometric functions.

GeoGebra Commands & Parameters

  1. Segment(A, C) → AC
  2. OrthogonalLine(C, AC) → g
  3. Point(g) → B
  4. Segment(B, C) → h
  5. Segment(A, B) → AB
  6. Point(AC) → D
  7. Point(h) → E
  8. Line(D, h) → j
  9. OrthogonalLine(E, h) → k
  10. Intersect(j, k) → F
  11. Segment(E, F) → l
  12. Segment(D, F) → m
  13. Angle(A, B, C) → α

AI Drawing Prompt Reference

Draw a triangle ABC with vertices A, B, and C. First, draw side AC, then construct a perpendicular line to AC to get point B. Next, draw sides BC and AB. Take point D on AC and point E on BC, and construct perpendicular lines through D and E, which intersect at point F. Finally, draw lines EF and DF, observe the relationship between the sides and angles of triangle ABC, and measure the size of angle ABC.
The prompt above was compiled from the original drawing commands and is for reference only.