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9.2 Radian and Degree Measure

9.2 Radian and Degree Measure. In this section, we will study the following topics: Terminology used to describe angles Degree measure of an angle Radian measure of an angle Converting between radian and degree measure. 9.2 Radian and Degree Measure. Angles.

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9.2 Radian and Degree Measure

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  1. 9.2 Radian and Degree Measure In this section, we will study the following topics: Terminology used to describe angles Degree measure of an angle Radian measure of an angle Converting between radian and degree measure

  2. 9.2 Radian and Degree Measure Angles Trigonometry: measurement of triangles Angle Measure

  3. 9.2 Radian and Degree Measure Standard Position Vertex at origin The initial side of an angle in standard position is always located on the positivex-axis.

  4. 9.2 Radian and Degree Measure Positive and negative angles When sketching angles, always use an arrow to show direction.

  5. 9.2 Radian and Degree Measure Radian Measure

  6. 9.2 Radian and Degree Measure Radian Measure 30 degrees 45 degrees 60 degrees 180 degrees 90 degrees 360 degrees What degree does each radian value relate to?

  7. 9.2 Radian and Degree Measure Conversions Between Degrees and Radians To convert degrees to radians, multiply degrees by To convert radians to degrees, multiply radians by

  8. Ex 5. Convert the degrees to radian measure. 60 30 -54 -118 45

  9. Ex 6. Convert the radians to degrees. a) b) c) d)

  10. Graph:1. 2. -40°3. 600° 4. 220°

  11. Finding reference angles: A reference angle is an angle between and It can be in any quadrant

  12. How to find the reference angle: Draw the given angle: Find the angle off of the x-axis: Find θ: 180 – 125 This is the reference angle: Located in Quadrant II

  13. Find the reference angle for each and name the quadrant: -

  14. Co-terminal angles: Angles with the same initial side and the same terminal side. For example: Hint: either add or subtract to the given value

  15. Find 2 co-terminal angles; one positive and one negative for each:

  16. HW:p.567 #6-30 even

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