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Find tan from cos

Find tan from cos
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2016-02-14 15:32
TrigonometryCoordinate GeometryGeometric Construction
In collections Strand 2: Geometry and Trigonometry
This example demonstrates how to construct a right triangle and use the cosine value to find the tangent value. Key math concepts include trigonometric functions, properties of right triangles, cosine theorem, and tangent definition. GeoGebra commands like Point, Intersect, Circle, OrthogonalLine, SurdText, and Textfield are used to build the triangle and label sides and angles. Suitable for high school students learning trigonometric relationships and geometric visualization in teaching.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Intersect(xAxis, yAxis) → A
  3. Circle(A, B) → c
  4. OrthogonalLine(C, xAxis) → a
  5. Intersect(c, a) → C_1, D
  6. OrthogonalLine(C_1, yAxis) → d
  7. Intersect(d, yAxis) → F
  8. SurdText(ta2) → ta2s
  9. SurdText(y(F)) → sf
  10. SurdText(x(C)) → sy
  11. OrthogonalLine(D, yAxis) → b
  12. Intersect(b, yAxis) → E
  13. SurdText(ta1) → ta1s
  14. SurdText(abs(y(E))) → st
  15. Textfield(s) → InputBox1
  16. SurdText(C) → text2
  17. Vector(D, E) → u
  18. Vector(C_1, F) → v
  19. SurdText(x(C)^(2)) → ssy
  20. SurdText(1 - x(C)^(2)) → assy