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Trigonometric Ratios and Unit Circle

Trigonometric Ratios and Unit Circle
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2020-01-21 08:14
CircleAngleTrigonometry
This example demonstrates the relationship between trigonometric ratios and the unit circle. Key mathematical concepts include trigonometric ratios, unit circle, and angles. Using GeoGebra commands such as Intersect, Segment, Angle, and Circle, the construction of points on the unit circle and their corresponding trigonometric values is illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A_1
  2. Segment(A_1, B_1) → r
  3. OrthogonalLine(B_1, xAxis) → g
  4. Intersect(g, xAxis) → C
  5. OrthogonalLine(C, yAxis) → h
  6. Segment(A_1, C) → i
  7. Segment(C, B_1) → j
  8. Angle(B_1, C, A_1) → β
  9. Circle(A_1, B_1) → d
  10. Angle(C, A_1, B_1) → B
  11. Intersect(d, xAxis, 2) → E
  12. Segment(A_1, E) → f
  13. Angle(E, A_1, B_1) → A