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The Unit Circle by Norm Prokup (2)

The Unit Circle by Norm Prokup (2)
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2016-08-31 14:15
CircleTrigonometryCoordinate GeometryGeometric ConstructionSlider Animation
This example demonstrates the construction of the unit circle. The unit circle, with a radius of 1, is significant in mathematics. Using GeoGebra commands such as Sequence, Circle, Point, Angle, and Segment, the example dynamically shows the relationship between points on the unit circle, their angles, and arc lengths. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Sequence((cos(n°), sin(n°)), n, 0, 359) → list3
  2. Circle(A, B) → c
  3. Point(list3) → P
  4. Angle(B, A, P) → α
  5. Segment(A, P) → f
  6. Segment(A, B) → g
  7. Sequence(x = n, n, -1.5, 1.5, 0.5) → list1
  8. Sequence(y = n, n, -1.5, 1.5, 0.5) → list2
  9. Sequence((cos(n°), sin(n°)), n, 0, 359) → list3_1
  10. Circle(A_1, B_1) → c_1
  11. Segment(A_1, B_1) → g_1