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Trigonometric Ratios in Right Triangles by Louiecw

Trigonometric Ratios in Right Triangles by Louiecw
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2014-04-07 16:18
TriangleAngleTrigonometryGeometric Construction
This example demonstrates the concept of trigonometric ratios (sine, cosine, tangent) in right-angled triangles. It involves core math concepts like the definition of trigonometric functions, relationships between sides and angles in right triangles, and the unit circle. GeoGebra commands used in construction include Intersect, Point, Segment, OrthogonalLine, and Angle. Suitable for high school mathematics teaching and helping students understand the geometric meaning of trigonometric functions, it can be used for problem demonstrations and concept deepening.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Segment(A, B) → c
  4. OrthogonalLine(A, c) → b_1
  5. Point(b_1) → C
  6. Segment(C, A) → b
  7. Segment(C, B) → a
  8. Angle(B, A, C) → α
  9. Angle(C, B, A) → θ