Convert from polar to rectangular

1. Dec 11, 2011

ParoXsitiC

1. The problem statement, all variables and given/known data

Convert the polar equation:

r = $\frac{2}{ 2\,\sin \left( \theta \right) -3\,\cos \left( \theta \right)}$

to rectangular form

2. Relevant equations

x^2 + y^2 = r^2
x = r * cos(theta)
y = r * sin(theta)

3. The attempt at a solution

I tried to to use the x = r cos(theta) technique but had issues simiplifying. Then I tried to x^2+y^2 = r^2 but couldn't complete the square or do anything useful with the r.

2. Dec 11, 2011

LCKurtz

Start by clearing the fraction by multiplying both sides by that denominator. Then try your substitutions.

3. Dec 11, 2011

McAfee

2*r*sin(x)-3*r*cos(x)=2

You should be able to figure it out from here.

4. Dec 11, 2011

ParoXsitiC

Thanks, that helped alot. Did not occur to me to divide by r.