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Unformatted text preview: QuickTime and a decompressor are needed to see this picture. 10.3 Polar Coordinates 2 3 ,2 3 4 x 2 + 2 = 25 5 3 cot t 5 3 cot 2 0,5 ( 29 , 0,5 ( 29 3,0 ( 29 , 3,0 ( 29 12.763 Converting Polar to Rectangular Use the polarrectangular conversion formulas to show that the polar graph of r = 4 sin is a circle. Converting Polar to Rectangular Use the polarrectangular conversion formulas to show that the polar graph of r = 4 sin is a circle. r = 4 sin 2 = 4 . 2 + 2 = 4 . 2 + 24= 0 2 + 24+ 4 = 4 . 2 + 2 ( 29 2 = 2 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. Initial ray r A polar coordinate pair determines the location of a point. ( 29 , r q 1 2 0 2 r r a = o = (Circle centered at the origin) (Line through the origin) Some curves are easier to describe with polar coordinates: 30 o 2 More than one coordinate pair can refer to the same point.More than one coordinate pair can refer to the same point....
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This note was uploaded on 02/16/2012 for the course CALCULUS 0064 taught by Professor Waldron during the Fall '10 term at Broward College.
 Fall '10
 waldron

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