Finding Points of Intersection for r = 1 - cos θ and r = 1 + sin θ

[JRangel42]

Homework Statement

Find all points of intersection of the given curve.

Homework Equations

r = 1 - cos θ, r = 1 + sin θ

The Attempt at a Solution

1 - cos θ = 1 + sin θ
1 = 1 + sin θ + cos θ
0 = sin θ + cos θ

After that step, I blank out and can't think about how to get any further on just looking for θ = ?

 

[Mark44]

Homework Statement

Find all points of intersection of the given curve.

Homework Equations

r = 1 - cos θ, r = 1 + sin θ

The Attempt at a Solution

1 - cos θ = 1 + sin θ
1 = 1 + sin θ + cos θ
0 = sin θ + cos θ

After that step, I blank out and can't think about how to get any further on just looking for θ = ?

So sinθ = -cosθ.

What if you divide both sides by cosθ?

 

[JRangel42]

I just figured that out, too. Thanks for confirming my answer though.