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Identifying Trig Ratios

Identifying Trig Ratios
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2019-09-11 03:46
TriangleAngleTrigonometryGeometric Construction
This example demonstrates how to dynamically generate right triangles and label side lengths and angles to identify trigonometric ratios. It involves core math concepts like sine, cosine, tangent, properties of right triangles, and side-angle relationships. Construction highlights include using commands like Random, Segment, Semicircle, Rotate, Angle, and Textfield. Suitable for high school students for understanding trigonometric concepts and quick formative assessment.

GeoGebra Commands & Parameters

  1. Random(5, 10) → d
  2. Segment(B, A) → h
  3. Semicircle(A, B) → c
  4. Rotate(B, (Random[30, 150] * π / 180), Midpoint[A, B]) → B'_2
  5. Segment(A, B'_2) → f
  6. Random(30, 150) → a
  7. Segment(B'_2, B) → g
  8. Random(1, 6) → n
  9. Element(L_1, n) → text1
  10. Textfield(b) → InputBox1
  11. Polygon(A, B'_2, B) → t1, b_1, a_1, b'_2
  12. Angle(A, B'_2, B) → α
  13. Angle(B'_2, B, A) → β
  14. Angle(B, A, B'_2) → γ