Question

Convert the equation from rectangular to polar form 9xy = 1

Answer 1

you can use
x = r cosA
y = r sin A

Answer 2

\(\bf x=rcos(\theta)\qquad y=rsin(\theta)
\\ \quad \\ \quad \\
9xy = 1\implies 9[rcos(\theta)][rsin(\theta)]=1\implies [rcos(\theta)][rsin(\theta)]=\cfrac{1}{9}\)

take common factor on the left-side and solve for "r"

Answer 3

So would it be \[ r = 1 / 9\cos(\theta)\sin(\theta)\]

Answer 4

yeap

Answer 5

Thank you!

Answer 6

yw