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Section 10.1 Polar Coordinates

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Rectangular Coordinates (3V3, 3)

_ _Rectangular Coordinates ( 2V2, 2V2)

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Polar Coordinates (3, p/2)

HINT Use the Pythagorean Theorem to find r and

use the Inverse Tangent to find ?.

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r 2 4 r sin ?

HINT Multiply both sides by r.

x2 y2 4y x2 y2 4y 0 x2 (y2 4y

4) 0 4 (x 0)2 (y 2)2 4 Circle with

center at (0, 2) and radius of 2.

Remember (x h)2 (y k)2 r2

Center (h, k) Radius r

Transform the equation 4xy 9 from rectangular

coordinates to polar coordinates. We use the

following formulas x r cos ? and y r sin ?.

4xy 9 4(r cos ?) ( r sin ?) 9 4r2 cos ? sin ?

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