Precalculus

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Write the rectangular equation (x+7)^+y^=49 in polar form.

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  • Precalculus -

    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

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