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Radian and Degree Measure

Radian and Degree Measure. 4-1. Angles. Thinking about angles differently: Rotating a ray to create an angle Initial side - where we start Terminal side - where we stop. Angles. Standard Position- the initial side is on the positive side of the x axis with the vertex on the origin

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Radian and Degree Measure

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  1. Radian and Degree Measure 4-1

  2. Angles • Thinking about angles differently: • Rotating a ray to create an angle • Initial side - where we start • Terminal side - where we stop

  3. Angles • Standard Position- the initial side is on the positive side of the x axis with the vertex on the origin • Positive angle – rotate counterclockwise • Negative angle – rotate clockwise

  4. Angles • Coterminal angles - angles are coterminal when there terminal ray is in the same position. • Radian measure – Radians are a ratio of arc length to radius. One radian is when the arc length is equal to the radius.

  5. Angles • Complete revolution is radians

  6. Angles

  7. Sketching Angles • Sketch in standard position

  8. Sketching angles • Sketch in standard position • Compare to the last graph

  9. Sketching Angles • Sketch in standard position

  10. Homework • Pg 255 #5-16 all

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