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Graphing Polar Coordinates

Graphing Polar Coordinates. 5015. Preliminaries: Pole: Polar Axis: Coordinates: r = θ =. origin. Positive x-axis. Radius (r, θ ). Angle pos counter clockwise neg clockwise. Plot the following points: . Plot the following points:. Degree Measure:. A(4, 330⁰) B)(3, -90⁰)

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Graphing Polar Coordinates

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  1. Graphing Polar Coordinates 5015

  2. Preliminaries: Pole: Polar Axis: Coordinates: r = θ = origin Positive x-axis Radius (r, θ) Angle pos counter clockwise neg clockwise

  3. Plot the following points: Plot the following points: Degree Measure: A(4, 330⁰) B)(3, -90⁰) C(-2, 30⁰) D(-4, -45⁰) D C A B

  4. Radian Measure: A B C D

  5. Naming Polar Coordinates – all four ways (4, 225)

  6. Examples: A(5, 150⁰) B(3, -240⁰)

  7. Converting Polar Rectangular

  8. Converting Remember the unit circle: Now radius can be different values y r x Polar, rectangular, R(x,y)

  9. TO CONVERT Polar to Rectangular

  10. Convert Rectangular to Polar + - If x is negative add 180 or If y only is negative add

  11. But we know the angle is in the III quadrant we will add So

  12. But we know the angle is in the IV quadrant so we will add We know the angle is in the II quadrant so we add

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