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Consider the polar curve r = 4 sin(6). (a) On the polar curve above, find the rectangular coordinates of the points corresponding to the following...

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Consider the polar curve r = 4 sin(6). (a) On the polar curve above, find the rectangular coordinates of the points corresponding to the following values of 6‘: 6' = U, E E 5—H 231'. 3 1' 2 1' 4 1’(b) Find the plane curve equation of the given polar curve. (c) Sketch a graph of the polar curve, indicating the pointsyou found in part (a). (d) Find all values (if any) of 9 that correspond to therectangular point (2x5, 2) on the polar curve.
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