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Calculus

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Write the polar equation in rectangular form. r = 12 sin theta

Write the rectangular equation (x + 7)^2 + y^2 = 49 in polar form

  • Calculus -

    r = 12 sinθ
    r^2 = 12r sinθ
    x^2+y^2 = 12x
    x^2 - 12x + y^2 = 0
    (x-6)^2 + y^2 = 36

    This one is just the reverse process:

    (x+7)^2 + y^2 = 49
    x^2 + 14x + y^2 = 0
    x^2 + y^2 = -14x
    r^2 = -14r cosθ
    r = -14 cosθ

  • Calculus -

    thank you!

  • Calculus -- OOPS! -

    I mixed up x and y in the 1st one!

    x^2+y^2 = 12y
    x^2 - 12y + y^2 = 0
    x^2 + (y-6)^2 = 36

    Also, the 2nd one could just as well have been written r = 14cosθ. It would just draw the circle from the left, rather than from the right.

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