Question #a72c7

1 Answer
sente
Sep 11, 2016

r^2cos(2theta) = 9r2cos(2θ)=9

Explanation:

As there is no zz 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

Related questions
See all questions in Introduction to Polar Coordinates
Impact of this question
1364 views around the world
You can reuse this answer
Creative Commons License