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Using Inverse Trig Functions Activity

Using Inverse Trig Functions Activity
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2019-09-16 22:09
AngleTrigonometryGeometric Construction
In collections Sections 9.4 and 9.5__3 Trig Ratios
This example demonstrates finding acute angle measures within right triangles using inverse trigonometric functions. It involves core math concepts like cosine, sine, trigonometry, linear functions, subtraction, symmetry, and the Pythagorean theorem. The construction utilizes commands like Random, Polygon, Circle, Intersect, Segment, Angle, Element, and Textfield from GeoGebra. Ideal for high school students learning trigonometric functions and geometric constructions.

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. Angle(B_1, A, C) → β
  16. Random(1, 2) → n
  17. Element(L1, n) → text1
  18. Element(L2, n) → text2
  19. Angle(B_1, A, B) → γ
  20. Textfield(δ) → InputBox1
  21. Angle(A, C, B_1) → η
  22. Angle(A, B, B_1) → θ