Question

Convert the polar equation r 2 = 2 sin 2θ to a Cartesian equation.

Answer 1

What's \(sin(2 \theta)\) first of all. Remember your trig identities.

Answer 2

I got a answer, but kinda funky :/

Answer 3

$$
r^2= 4cos(\theta)sin(\theta)\\
\text{both sides times }r^2\\
r^4= 4(rcos(\theta))(rsin(\theta))\\
x^4+y^4 = 4xy
$$

Answer 4

was thinking about that... that'd just ... give me a longer trinomial hehe

Answer 5

ever used http://mathb.in/ ?

Answer 6

I think so, good ideahehhe

Answer 7

I join math club, OMG. all them are genius, all them are experts , I feel as if I am a dumb. there

Answer 8

however, I feel stable when I know that my higher level is sponsored by that site. hehehhe
I posted many problems here, 7/10 got no answer.