Question

How would I convert polar coordinates into rectangular coordinates?

Answer 1

the conversions are
x= r cos \( \theta\)
y= r sin θ
r= \( \sqrt{x^2+y^2} \)
I would divide both sides by r as a first step:
\[ 1 = \frac{32}{3r+5r \sin \theta} \]

Answer 2

then replace r sin θ with y and r with sqr(x^2+y^2)

maybe you can then play with the equation to make it look nicer.