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Unit Circle Demonstration by Gary Rubinstein

Unit Circle Demonstration by Gary Rubinstein
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2017-09-06 10:26
CircleTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the geometric construction of the unit circle and its relationship with trigonometric functions. Core math concepts include the unit circle, trigonometry, coordinate geometry, and angle measurement. Construction highlights involve GeoGebra commands like Point, Circle, Angle, Segment, and Sequence to build the unit circle and related elements. Suitable for high school students learning trigonometric definitions and coordinate systems.

GeoGebra Commands & Parameters

  1. Point({1, 0}) → A
  2. Point({0, 0}) → B
  3. Circle(B, A) → c
  4. Point(c) → P
  5. Angle(A, B, P) → α
  6. Segment(B, P) → f
  7. Sequence(Point[{cos(((10 * n) * π / 180)), sin(((10 * n) * π / 180))}], n, 0, 36) → L