Convert from polar to rectangular

  • Thread starter ParoXsitiC
  • Start date
  • #1
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0

Homework Statement



Convert the polar equation:

r = [itex]\frac{2}{ 2\,\sin \left( \theta
\right) -3\,\cos \left( \theta \right)}
[/itex]

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.
 

Answers and Replies

  • #2
LCKurtz
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Homework Statement



Convert the polar equation:

r = [itex]\frac{2}{ 2\,\sin \left( \theta
\right) -3\,\cos \left( \theta \right)}
[/itex]

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.
 
  • #3
96
1
2*r*sin(x)-3*r*cos(x)=2

You should be able to figure it out from here.
 
  • #4
58
0
Thanks, that helped alot. Did not occur to me to divide by r.
 

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