# Points of Intersection

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 = ?

Mentor

## 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.