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Trigonometric Ratios of Two Angles

Trigonometric Ratios of Two Angles
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2016-07-27 12:59
TriangleAngleTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the trigonometric ratios of two angles. Key mathematical concepts include trigonometry, angles, and triangles. Using GeoGebra commands such as Line, OrthogonalLine, Point, Angle, and Polygon, a triangle containing two angles is constructed. Suitable for middle school and above students to learn trigonometry and geometric construction.

GeoGebra Commands & Parameters

  1. Line(B, A) → a
  2. OrthogonalLine(B, a) → b
  3. Point(b) → C
  4. Angle(a, b) → α
  5. Polygon(A, B, C) → poly1, c, a_1, b_1
  6. Angle(B, C, A) → β
  7. Angle(C, A, B) → γ
  8. Midpoint(c) → D
  9. Midpoint(a_1) → E
  10. Midpoint(b_1) → F