Tangent Ratio on Unit Circle

Tangent Ratio on Unit Circle
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2016-11-03 01:28
This example demonstrates the relationship between the tangent ratio of any angle on the unit circle and the lengths of the sides of a right triangle. Core math concepts include the unit circle, trigonometric functions, right triangles, and coordinate geometry. Construction highlights involve commands like Intersect, Circle, Point, Segment, Angle, and OrthogonalLine. Suitable for high school students learning about the definition of trigonometric functions and applications of the unit circle.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c_1
  3. Point(c_1) → B
  4. Point(c_1) → C_1
  5. Segment(C_1, A) → b
  6. Angle(B, A, C_1) → α
  7. Point(c_1) → D
  8. Segment(D, B) → a
  9. OrthogonalLine(C_1, a) → d
  10. Intersect(d, a) → E
  11. Segment(A, E) → e
  12. Segment(C_1, E) → f