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Quiz: Finding Exact Trig Ratios

Quiz: Finding Exact Trig Ratios
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2019-05-17 03:33
AngleTrigonometryGeometric Construction
This quiz helps students master exact trigonometric ratios. By constructing right triangles, students can intuitively understand the definitions of sine, cosine, and tangent. Using GeoGebra commands like Random, Polygon, and Circle, they can dynamically explore these concepts. Suitable for middle and high school students.

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

AI Drawing Prompt Reference

Draw a right triangle ABC with A as the right angle, B as the acute angle, and C as the vertex. Use random numbers to generate the lengths of the legs AB (a) and AC (b), and let the length of the hypotenuse BC (c) be determined by a and b. Construct a right triangle and calculate the degree of angle B (α). Randomly select a point D inside the triangle and construct a circle with center A and radius c, intersecting line AD at point B. Then construct the supplementary angle of B (β) and the supplementary angle of C (γ).
The prompt above was compiled from the original drawing commands and is for reference only.