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3D Cuboid Trigonometry

3D Cuboid Trigonometry
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2016-09-11 14:27
TrigonometryCoordinate GeometrySolid Geometry
This example demonstrates trigonometric relationships in a 3D cuboid. Key mathematical concepts include trigonometry and solid geometry. Using GeoGebra commands such as Intersect, Point, and Polygon, the example constructs the faces and edges of the cuboid. Suitable for high school mathematics education and learning the application of trigonometry in solid geometry.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, zAxis) → A
  2. Point(zAxis) → B
  3. Point(yAxis) → C
  4. Polygon(A, B, D, C) → poly1, a, b, d, c
  5. PointIn(poly1) → E
  6. Prism(poly1, F) → e, G, edgeBG, edgeDH, edgeCI, edgeFG, edgeGH, edgeHI, edgeFI, H, I, faceABGF, faceBDHG, faceCDHI, faceACIF, faceFGHI, edgeAF
  7. Intersect(edgeGH, edgeBG) → J
  8. Polygon(D, I, G) → poly2, g, d_1, i