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12.5

Polar Curves. 12.5. One way to give someone directions is to tell them to go three blocks East and five blocks South. Another way to give directions is to point and say “Go a half mile in that direction.”.

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12.5

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  1. Polar Curves 12.5

  2. One way to give someone directions is to tell them to go three blocks East and five blocks South. Another way to give directions is to point and say “Go a half mile in that direction.” Polar graphing is like the second method of giving directions. Each point is determined by a distance and an angle. A polar coordinate pair Initial ray determines the location of a point.

  3. Complete Cycle: The Limacon Cardiod (heart) Limacon with loop Limacon no loop (Point at pole.) (Point at pole.)

  4. Compare the graphs. Note the symmetry. Watch the direction in which they are drawn and when they pass through the pole.

  5. Compare the graphs. Note the symmetry. Watch the direction in which they are drawn and when they pass through the pole.

  6. Compare the graphs. Note the symmetry. Watch the direction in which they are drawn and when they pass through the pole.

  7. The Rose Compare the graphs. Note the symmetry and when they pass through the pole.

  8. Circles come in two forms: Compare how long it takes to complete one cycle. Graph by hand.

  9. The Lemniscate (Bow Tie) Compare the graphs. Note the symmetry.

  10. Graph by hand.

  11. Graph by hand.

  12. Graph by hand.

  13. Homework Wkst 9.2 #37-59 odd and 54 by hand #38-60 even (just describe)

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