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Math Help - Inner Loop of a limacon

  1. #1
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    Post Inner Loop of a limacon

    The polar function, r(theta)=2 cos(theta)-1, is a limacon. It has an outer and inner loop. Find the exact values , a and b, such that a <=theta<=b creates the inner loop of the limacon.

    I know that r= a+- bcos(theta) so i guess that means its -1/2 and that means 2pi/3 and 4pi/3

    I need help.
    Last edited by skeeter; November 26th 2012 at 03:21 AM. Reason: original title was worthless
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Help.

    If you look at a plot of the curve, you see you want to solve for:

    2\cos(\theta)-1=0 where -\frac{\pi}{2}<\theta<\frac{\pi}{2}
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