Precalculus
posted by Kim on .
Write the rectangular equation (x+7)^+y^=49 in polar form.

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Write the rectangular equation (x+7)^+y^=49 in polar form
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You should know that
r^2 = x^2 + y^2 and sinØ = y/r , and cosØ = x/r
so for
(x+7)^+y^=49
x^2 + 14x + 49 + y^2 = 49
r^2 + 14rcosØ = 0
or
r(r + 14cosØ) = 0 or r^2 =  14r cosØ
or
r = 14cosØ , r ≠ 0