Unit Circle - Tangent Values between 0 and 90 Degrees

Unit Circle - Tangent Values between 0 and 90 Degrees
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2011-11-09 23:49
This example demonstrates the calculation and geometric representation of tangent values for angles between 0 and 90 degrees on the unit circle. It involves core math concepts like the unit circle, trigonometric functions (tangent), angle measurement, and geometric construction. GeoGebra commands such as Intersect, Point, CircleArc, Rotate, Angle, Segment, and Circle are used to construct the geometry. Suitable for high school mathematics education to understand the relationship between trigonometric functions, the unit circle, and the geometric meaning of tangent values.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Point(xAxis) → B
  3. Point(yAxis) → C
  4. CircleArc(O, B, C) → c
  5. Rotate(B, a°, O) → B'
  6. Angle(B, O, B') → α
  7. Segment(O, B') → b
  8. Circle(O, 1) → d
  9. Intersect(f, e) → A
  10. Segment(O, A) → g