(adsbygoogle = window.adsbygoogle || []).push({}); 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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Points of Intersection in Polar Areas

**Physics Forums | Science Articles, Homework Help, Discussion**