Convert the polar equation r^2 = 2sin2Ө to a Cartesian equation.
Answer choices:
(x^2 + y^2)^2 = 2xy
(x^2 + y^2)^2 = 4xy
(x^2 + y^2)^2 = 2y^2

Question

Convert the polar equation r^2 = 2sin2Ө to a Cartesian equation.
Answer choices:
(x^2 + y^2)^2 = 2xy
(x^2 + y^2)^2 = 4xy
(x^2 + y^2)^2 = 2y^2

kash_thesmartguy · Answer

This will probably help- http://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.468905.html

anonymous · Answer

Ok thank you!

kash_thesmartguy · Answer

Can I get a medal? Just kidding :)

jtvatsim · Answer

One trick you might want to note for this one is the following fact:
$$\sin(2\theta) = 2 \sin(\theta)\cos(\theta)$$ That might be useful for you when you try to convert.

anonymous · Answer

Thank you!

jtvatsim · Answer

No worries, feel free to repost the question if you get stuck. You should have the basic information you need to succeed now though. :) Good luck!