Points of Intersection

  • Thread starter JRangel42
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  • #1
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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 = ?
 

Answers and Replies

  • #2
33,948
5,603

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?
 
  • #3
17
0
I just figured that out, too. Thanks for confirming my answer though.
 

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