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Unformatted text preview: the circle, so canceling r does not eliminate r = 0 as a potential solution of the equation (since = would make r = 8 sin = 8 sin 0 = 0). Thus, the equation is r = 8 sin . Example 6.19 Write the equation y = x in polar coordinates. Solution: This is the equation of a line through the origin. So when x = 0, we know that y = 0. When x n= 0, we get: y = x y x = 1 tan = 1 = 45 Since there is no restriction on r , we could have r = 0 and = 45 , which would take care of the case x = 0 (since then ( x , y ) = (0,0), which is the same as ( r , ) = (0,45 )). Thus, the equation is = 45 ....
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This note was uploaded on 01/21/2012 for the course MAC 1130 taught by Professor Dr.cheun during the Fall '11 term at FSU.
 Fall '11
 Dr.Cheun
 Calculus, Addition

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