rectangular form to polar form

Question

xy=12

rsinÆŸ rcosÆŸ=12

would the answer be:
r^2=12/cosÆŸ sinÆŸ

please show steps,
Thanks

Answer 1

Yes, if you mean

r^2 = 12/ (sinØcosØ)

you could also change it to
r^2 = 24/sin(2Ø) , (recall sin2Ø = 2sinØcosØ )