- #1
Rasmus
- 8
- 0
Homework Statement
Write the equation
[tex]x^2 + y^2 = 1 + sin^2(xy)[/tex]
in polar form assuming
[tex]x = rcos(\phi)[/tex]
[tex]y = rsin(\phi)[/tex]
[tex]0<r, 0<= \phi < 2pi[/tex]
solve for r as a function of [itex]\phi[/itex]
The Attempt at a Solution
[tex](rcos(\phi))^2 + (rsin(\phi))^2 = 1 + sin^2(r^2cos(\phi)sin(\phi))[/tex]
[tex]r^2(cos^2(\phi) + sin^2(\phi)) = 1 + sin^2(r^2cos(\phi)sin(\phi))[/tex]
[tex]r^2 = 1 + sin^2(r^2cos(\phi)sin(\phi))[/tex]
At this point I'm feeling pretty lost, since I have no idea how to get the all r:s alone on one side of the equation. More specifically I don't understand how to get them out of the trig function.