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Points of Intersection in Polar Areas

  1. Oct 18, 2011 #1
    1. The problem statement, all variables and given/known data

    The question is to find the area of the region that lies inside both curves. The part I'm specifically having trouble with is finding the points of intersection.

    2. Relevant equations

    sin (2∅)

    cos (2∅)

    3. The attempt at a solution

    sin 2∅ = cos 2∅
    2 sin ∅ cos ∅ = 1 - sin^2 ∅
    2 sin Θ cos Θ + sin^2 Θ = 1
    sin Θ(2cos Θ + sin Θ) - 1 = 0
  2. jcsd
  3. Oct 18, 2011 #2


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    You don't need the double angle formulas. Divide both sides of your first equation by cos(2∅) to get a single equation involving the tangent function.
  4. Oct 18, 2011 #3
    Seriously?! Anyway, thanks for the help. (^O^)
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