# Intersection pts of polar equations

n00neimp0rtnt

## Homework Statement

I have to find the area of the region that lies inside the curves:

r = sin(θ)
r = sin(2θ)

## The Attempt at a Solution

I'm assuming the first step would be to find the points of intersection so I know WHERE to integrate from/to, so I set the equations equal to each other:

sin(θ) = sin(2θ)

arcsin both sides:
θ = 2θ

And I'm stuck. Analysis of the graph shows that the most crucial intersection point occurs at or very close to 75º, but I would like to be able to show that.