Question

Question #a72c7

Answer 1

`r^2cos(2theta) = 9`

Explanation:

As there is no `z` component, converting into cylindrical coordinates in this case is equivalent to converting to polar coordinates, which we can do using the identities

`{(x = rcos(theta)), (y = rsin(theta)):}`

Substituting these in:

`x^2 - y^2 = 9`

`=> (rcos(theta))^2-(rsin(theta))^2=9`

`=> r^2(cos^2(theta)-sin^2(theta))=9`

`:. r^2cos(2theta) = 9`