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Finding Exact Trig Ratios

Finding Exact Trig Ratios
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2019-09-16 22:08
AngleTrigonometryGeometric Construction
In collections Sections 9.4 and 9.5__3 Trig Ratios
This activity demonstrates how to find exact trigonometric ratios through geometric construction. Core concepts include sine and cosine in trigonometry. Using GeoGebra commands such as Random, Polygon, Circle, Intersect, etc., any triangle can be constructed and its exact trigonometric ratios calculated. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Random(2, 9) → a
  2. Random(2, 10) → b
  3. Random(a + 1, 10) → c
  4. Polygon(A, B_1, C) → t1, c_1, a_1, b_1
  5. Circle(A, c) → d
  6. Intersect(d, f, 1) → B
  7. Polygon(A, B_1, B) → t2, d_1, a_2, b_2
  8. Segment(A, B_1) → g
  9. Segment(B_1, B) → h
  10. Segment(B, A) → i
  11. Segment(C, B_1) → j
  12. Segment(C, A) → k
  13. Angle(B, B_1, A) → α
  14. Random(1, 2) → m
  15. Textfield(e) → InputBox1
  16. Angle(B_1, A, C) → β
  17. Random(1, 4) → n
  18. Element(L1, n) → text1
  19. Element(L2, n) → text2
  20. SurdText(e) → text8
  21. Angle(B_1, A, B) → γ