DISCUSS PROV E: The Distance Formula in PolarCoordinates(a) Use the Law of Cosines to

Chapter 8, Problem 71

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DISCUSS PROV E: The Distance Formula in PolarCoordinates(a) Use the Law of Cosines to prove that the distancebetween the polar points 1r1, u1 2 and 1r2, u2 2 isd "r21 r22 2r1r2 cos1u2 u1 2(b) Find the distance between the points whose polar coordinatesare 13, 3p/42 and 11, 7p/62 , using the formulafrom part (a).(c) Now convert the points in part (b) to rectangular coordinates.Find the distance between them, using the usualDistance Formula. Do you get the same answer?

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