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Trigonometric Complementary Ratios

Trigonometric Complementary Ratios
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2018-08-08 07:32
AngleFunctionTrigonometry
This example demonstrates the relationship between trigonometric complementary ratios. It involves core mathematical concepts such as trigonometric functions and angles. Using GeoGebra commands like Rotate, Angle, Line, etc., it constructs the relationship between trigonometric functions for complementary angles. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Rotate(A, θ, B) → A'
  2. Angle(A, B, A') → α
  3. Line(B, A') → f
  4. Point(Circle[B, BD]) → D
  5. Segment(B, D) → g
  6. OrthogonalLine(D, g) → h
  7. Intersect(f, h) → E
  8. Polygon(B, E, D) → t1, BE, DE, BD_1
  9. Angle(E, D, B) → γ
  10. Angle(B, E, D) → β
  11. Midpoint(BD_1) → I