Thread: How would we find limits for finding the area between two curves?[Polar]

Find the area that lies inside the curves:
r=sinθ and r=cosθ

I need help figuring out the point of intersection on those two curves. I have set sinθ = cosθ but I don't know where to go from there.

Please help me on this!

Originally Posted by florx

Find the area that lies inside the curves:
r=sinθ and r=cosθ

I need help figuring out the point of intersection on those two curves. I have set sinθ = cosθ but I don't know where to go from there.

Please help me on this!

sinθ=cosθ at θ=pi/4
then integrate cosθ-sinθ from 0 to pi/4. this will give you the area between the two curves in the first quadrant.
a rough sketch of the two curves will help understand why the above is being done.