By the Law of Cosines, the distance d between two points (Figure 23) with polar coordinates (r,

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By the Law of Cosines, the distance d between two points (Figure 23) with polar coordinates (r, θ) and (r0, θ0) is

d=+2rro cos(0 - 00) -

Use this distance formula to show that

cos (6 - 7) = : 4 -10r cos e 56

is the equation of the circle of radius 9 whose center has polar coordinates (5, π/4).

r (r, 0) 0 To d 00 (ro, 00) -x


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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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