1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    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^)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Points of Intersection in Polar Areas
  1. Points of Intersection (Replies: 2)

Loading...