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F.4 Trigonometric Ratios

F.4 Trigonometric Ratios
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2017-05-15 15:16
CircleTrigonometryGeometric Construction
This example demonstrates the relationship between any point on the unit circle and its trigonometric values. Core concepts include the definition of trigonometric functions, the unit circle, and coordinates of special angles. GeoGebra commands like Point, Intersect, Segment, Angle, and OrthogonalLine are used to construct the unit circle, angles, and trigonometric lines. Suitable for high school mathematics teaching to understand the connection between trigonometric functions and geometric figures.

GeoGebra Commands & Parameters

  1. Point(d) → P
  2. Intersect(xAxis, yAxis) → A
  3. Segment(A, P) → r
  4. Angle(xAxis, r) → θ
  5. OrthogonalLine(P, xAxis) → b
  6. OrthogonalLine(P, yAxis) → c
  7. Intersect(b, xAxis) → B
  8. Segment(P, B) → e
  9. Intersect(c, yAxis) → C
  10. Segment(P, C) → f