Finding Points of Intersection for Polar Curves

[jjeddy]

Homework Statement

I need to find the 2 points of intersection (in polar form) of the two curves.

I know just by looking that the origin will be one of the points, (0,0)

The Attempt at a Solution

I have approached this two different ways,

1. set them equal to each other and tried to simplify.Which approach should i use?

 

[jjeddy]

OK, i used tanθ=sinθ/cosθ and i solved for θ

i can substitute back into get my corresponding (r,θ) r point and i should have my point right?

 

[SammyS]

Right. That gives you one of the points. I'm not quite sure how you came up with your answer of θ=π/4 , so it's difficult to suggest how you should come up with the second point.

 

[jjeddy]

Is that right?I think that is my polar coordinate where it intersects

 

[SammyS]

Your first post states that you need to find the 2 points of intersection.

For what other value of θ, is tan(θ) = 1 ? What is the period of the tangent function?