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Math Help - Sketch polar

  1. #1
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    Sketch polar

    how do i sketch this polar equation r = 1 - 2 cos theta
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  2. #2
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    Hello, reiward!

    How do i sketch this polar equation? . r \:=\:1 - 2\cos\theta

    You should be familiar with the curve called the limacon.
    . . This one has a "loop".


    Calculate a few ponts:

    . . \begin{array}{|c|c|}<br />
\theta & r \\ \hline<br />
0 & \text{-}1 \\ \frac{\pi}{2} & 1 \\ \pi & 3 \\ \frac{3\pi}{2} & 1 \end{array}


    The graph looks like this:
    Code:
                      :
                  * * o 1
              *       : *
            *         :   *
           *          :   *
                      :  *
          *      * *  : *
      - - o - - o - - * - - - -
        3 *   -1 * *  : *
                      :  *
           *          :   *
            *         :   *
              *       : *
                  * * o 1
                      :
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