Trig Ratios in Right Triangle

Trig Ratios in Right Triangle
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2016-05-02 20:47
This example demonstrates the calculation and visualization of trigonometric ratios (sine, cosine, tangent) in a right triangle. It involves core math concepts like the definition of trigonometric functions, relationships between side lengths in right triangles, and angle measurement. The construction uses commands such as Segment, OrthogonalLine, Point, and Angle in GeoGebra to draw the triangle, label key points, and display angles. It is suitable for high school mathematics teaching to help students intuitively understand the definitions and properties of trigonometric functions.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(B, f) → g
  3. Point(g) → C
  4. Segment(A, C) → h
  5. Angle(B, A, C) → α
  6. Segment(C, B) → i
  7. Angle(C, B, A) → β