Question

How do you find the points of intersection of `r=1+costheta, r=1-sintheta`?

Answer 1

`theta=180n-45, n in ZZ`

Explanation:

`r=1+costheta, r=1-sintheta`

To find the points of intersection, we equate the expressions.

`1+costheta=1-sintheta`

`sintheta+costheta=0`

`sintheta=-costheta`

`tantheta=-1`

`theta=arctan(-1)=180n-45, n in ZZ`