Question

r^2=2csc2theta
convert the polar equation to rectangular coordinates

Answer 1

is that \[r^2=2\csc(2\theta)\]or\[r^2=2\csc^2\theta\]?

Answer 2

the first one
\[r ^{2}=2\csc2\]\[r ^{2}=2\csc2\]

Answer 3

its suppose to be a theta in the end but idk its not showing

Answer 4

All you need is the fact that
\[x = rcos \theta\]\[y = rsin \theta\]

Answer 5

but dont i need to change the csc into 1/sin?

Answer 6

Well, that too. All I wanted was to stress the importance of those equalities somewhat :)

Answer 7

yes, and that\[\csc(2\theta)=\frac1{\sin(2\theta)}=\frac{\cancel2}{\cancel2\sin\theta\cos\theta}\]

Answer 8

@TuringTest
\[*2\csc(2\theta)=\frac{2}{\sin(2\theta)}=\frac{\cancel2}{\cancel2\sin\theta\cos\theta}\]
;)
Just sayin'