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Unit Circle Demo (0-90 Degrees)

Unit Circle Demo (0-90 Degrees)
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2019-05-21 14:38
CircleTrigonometryGeometric Construction
This example demonstrates the basic shape and properties of the unit circle within the range of 0 to 90 degrees. It involves core mathematical concepts such as the circle, trigonometric functions, trigonometry, and the unit circle. The construction highlights GeoGebra commands like Intersect, Circle, Rotate, Angle, Segment, and OrthogonalLine. Suitable for middle school and above students to understand the relationship between trigonometric functions and the unit circle, as well as geometric construction techniques.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Intersect(c, xAxis, 2) → D
  4. Rotate(B, α, A) → P
  5. Angle(B, A, P) → β
  6. Segment(A, P) → f
  7. OrthogonalLine(P, xAxis) → g
  8. OrthogonalLine(P, yAxis) → h

AI Drawing Prompt Reference

Draw a unit circle from 0 to 90 degrees. Start by marking the intersection of the x-axis and y-axis as point A, then draw a circle c with radius 1 centered at A. Find the intersection of circle c with the x-axis as point D. Rotate point B on circle c around A to get point P, and measure the angle BAP to get angle β. Draw line segment AP as f, and the perpendicular lines from P to the x-axis and y-axis as g and h.
The prompt above was compiled from the original drawing commands and is for reference only.