Calculus

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

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

  1. 👍
  2. 👎
  3. 👁
  1. 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

    1. 👍
    2. 👎
  2. thank you!

    1. 👍
    2. 👎
  3. 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.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Pre-Calculus HELP!

    change the polar equation r=5/1+cos(theta) to rectangular form. How do I do this? Thank you! :)

  2. Math

    1. Find the slope of the line that passes through the points (-1, 2), (0, 5). 2. Suppose y varies directly with x, and y = 15 and x = 5. Write a direct variation equation that relates x and y. What is the value of y when x = 9? 3.

  3. precalc

    Eliminate the parameter and write the corresponding rectangular equation. X=2cos theta, y=4sin theta

  4. calculus

    Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. x=4+2cos(theta) y=-1+2sin(theta)

  1. Trig/pre-calc

    r=8cos(theta)+5sin(theta), convert the polar equation into a rectangular equation and then complete the square and determine the center radius...? Help?! I missed the section, and am not getting anywhere with the text...

  2. PRECALCULUS HELP PLEASE!

    convert the polar equation to rectangular form. 1.) r sec(theta) = 3 2.) r = 4 cos(theta) - 4 sin(theta) convert from rectangular equation to polar form. 1.) x^2 + (y-1)^2 = 1 2.) (x-1)^2 + (y+4)^2 = 17

  3. Pre calculus

    in the equation r= 5/(sin theta +2cos theta) the letters r and theta represent polar coordinates. Write the equivalent equation using rectangular coordinates. Thanks :)

  4. math homework

    Write the rectangular equation (x-4)^2 + y^2=16 in polar form

  1. Math

    The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ). Given equation: y=x I chose: r=cosθ

  2. Math

    The letters r and θ represent polar coordinates. Write the following equation using rectangular coordinates (x, y). Given equation r=5

  3. Precalculus

    How would I rewrite this in rectangular form? // r = 8 sin theta - 2 cos theta? I apologize, there was an error before.

  4. Trig (math)

    1.) Find all solutions of the equation. Leave answers in trigonometric form. x^2 + 1 - sqrt3i = 0 2.) Give the rectangular coordinates for the point. (9, 2pi/3) 3.) The rectangular coordinates of a point are given. Express the

You can view more similar questions or ask a new question.