Pc 10.7 notes

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Transcript of Pc 10.7 notes

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February 10, 2012

10.7 Polar CoordinatesObjective: Translate rectangular coordinates and equations into polar coordinates and equations.

Standard: Math Analysis 1.0

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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.

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Polar Coordinates:

(x, y) (r, θ)

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Polar Graph

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

a) (-3, 5)

b) (-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 EquationsRectangular Polar

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

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

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

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Assignment:

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

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