Need Guidance: Area in between Polar Curves

[GavinMath]

Homework Statement

Find the area of the region that lies inside both of the circles
r = 2sin(x)
r = sin(x) + cos(x)

Homework Equations

A = (1/2)(int from a to b): r^2 dx

(I apologize because I do not know how to make calculus look proper in text form)

The Attempt at a Solution

What I need is some theoretical help. Through graphing these circles I can see that they intersect at pi/4. However, I see that they intersect near the origin, however I can not get a common angle, which makes me confused on how to set up the intervals of my integration. Any ideas to get me going would be much appreciated!

 

[Mark44]

Homework Statement

Find the area of the region that lies inside both of the circles
r = 2sin(x)
r = sin(x) + cos(x)

Homework Equations

A = (1/2)(int from a to b): r^2 dx

(I apologize because I do not know how to make calculus look proper in text form)

The Attempt at a Solution

What I need is some theoretical help. Through graphing these circles I can see that they intersect at pi/4. However, I see that they intersect near the origin, however I can not get a common angle, which makes me confused on how to set up the intervals of my integration. Any ideas to get me going would be much appreciated!

What about setting the r values in the two equations equal, and solving for the angle?