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February 10, 2012




10.7 Polar Coordinates
 Objective: Translate rectangular coordinates
 and equations into polar coordinates and
 equations.

 Standard: Math Analysis 1.0




                                                                    1
February 10, 2012


Warm-up:
Angle A terminates at the coordinate (-4, 7). Find the
sine, cosine, and tangent of A, as well as the measurement
of A.




                                                                                 2
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Polar Coordinates:

(x, y)               (r, θ)




                                                  3
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Polar Graph




                                  4
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Ex. 1) Convert the following points from rectangular to
polar.

a) (-3, 5)




b) (-5, -5)




                                                                              5
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Ex. 2) Convert the following points from polar to
rectangular.

a) (8, π/6)




b) (2, 5π/4)




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Polar and Rectangular Equations
 Rectangular         Polar




                                                      7
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Ex. 3) Convert the following equation to polar form.




                                                                           8
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Ex. 4) Convert the following equation from polar form to
rectangular form.




                                                                               9
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Ex. 5) Convert the following equation from polar form to
rectangular form.




                                                                               10
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Assignment:

#29 p. 783
#17-25 (odd) 33-41
(odd), 49-55 (odd)

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February 10, 2012




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