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

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

The Unit Circle


The unit circle

The Unit Circle


The unit circle

The Unit Circle


Terminal points

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


The unit circle

The Unit Circle


Example find the terminal point for 7 6

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


Example find the terminal point for 5 3

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


The unit circle

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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