The Unit Circle
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The Unit Circle. The unit circle is a circle of radius 1 centered at the origin of the xy -plane. Its equation is x 2 + y 2 = 1. The Unit Circle. The Unit Circle. The Unit Circle. The Unit Circle. The Unit Circle. Terminal Points.

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The Unit Circle

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The Unit Circle

The unit circle is a circle of radius 1 centered at the origin of the xy-plane. Its equation is x2 +y2 = 1.


The Unit Circle


The Unit Circle


The Unit Circle


The Unit Circle


The Unit Circle


Terminal Points

  • A terminal point is the point where the terminal side of the angle intersects the unit circle.

  • Coordinates are (x, y) or :


The Unit Circle


The Unit Circle


Example: Find the terminal point for 7π/6:


Example: Find the terminal point for 5π/3:


The Unit Circle

Given a distance, t, along the unit circle starting from (0, 1) and going counterclockwise (if t is positive) we arrive at a point, P(x, y), called the terminal point.

1

t

P(x,y)

-1

1

-1


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