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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 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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  1. 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.

  2. The Unit Circle

  3. The Unit Circle

  4. The Unit Circle

  5. The Unit Circle

  6. The Unit Circle

  7. Terminal Points • A terminal point is the point where the terminal side of the angle intersects the unit circle. • Coordinates are (x, y) or :

  8. The Unit Circle

  9. The Unit Circle

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

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

  12. 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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