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Thread: need graph for polar eqn r = 6 - 4 sin theta

  1. #1

    need graph for polar eqn r = 6 - 4 sin theta

    Howwould I attempt to begin the polar eqn : ( I need to graph too)

    r = 6 - 4 sin theta

  2. #2
    Elite Member
    Join Date
    Apr 2005
    Location
    PA, USA
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    8,223
    Start with known values and plot them.

    theta = 0
    sin(0) = 0
    6 - 4sin(0) = 6

    What other exact values of the sine function do you know?

  3. #3
    Elite Member
    Join Date
    Jan 2005
    Location
    Lexington, MA
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    5,584

    Re: trig...polar equation

    Hello, Chevy_meg!

    How would I graph: [tex]\:r \:=\: 6\,-\,4\sin\theta[/tex]

    You're expected to recognize the curve . . . a "limacon".
    . . In this one, the cusp does not "go into the origin".

    As tkhunny suggested, plot some points.

    . . [tex]\begin{array}{ccccccccc}\hline
    \;\theta & | & 0 & | & \frac{\pi}{2} & | & \pi & | & \frac{3\pi}{2}\; \\ \hline
    \;r & | & 6 & | & 2 & | & 6 & | & 10\; \\ \hline
    \end{array}[/tex]

    This gives us the orientation of the limacon.
    Code:
                   *    |    *
                *     * | *     *
              *         o2        *
             *          |          *
                        |
        - - o - - - - - + - - - - - o - -
           6*           |           *6
            *           |           *
                        |
             *          |          *
              *         |         *
                *       |       *
                   *    |    *
                      * o *
                        |10
    I'm the other of the two guys who "do" homework.

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