Convert from polar to rectangular

[ParoXsitiC]

Homework Statement

Convert the polar equation:

r = \frac{2}{ 2\,\sin \left( \theta<br /> \right) -3\,\cos \left( \theta \right)}<br />

to rectangular form

Homework Equations

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

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.

 

[LCKurtz]

Homework Statement

Convert the polar equation:

r = \frac{2}{ 2\,\sin \left( \theta<br /> \right) -3\,\cos \left( \theta \right)}<br />

to rectangular form

Homework Equations

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

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.

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

 

[McAfee]

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

You should be able to figure it out from here.

 

[ParoXsitiC]

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