# Thread: convert polar coordinates to rectangular coordinates

1. ## convert polar coordinates to rectangular coordinates

i've been working on this following question for ages and I wondered if anyone can help

The curve is defined in the polar coordinates: = 3/(1+cos(phi))

write the equation for this curve in the cartesian system of coordinates.

plot this curve. what is the name of the curve?

I probably can do the last bits once I can get the equation

2. Move your $\displaystyle 1+cos(\theta)$ to the other side of the equation. You'll use the relationships $\displaystyle x=r \cdot cos(\theta)$ and $\displaystyle r = \sqrt{x^2 + y^2}$ to substitute a couple of things (so that you're only playing with $\displaystyle x$'s and $\displaystyle y$'s) before you simplify and graph your result.

3. i did not but I couldn't solve it in cartesian form

4. Originally Posted by sonia1 i did not but I couldn't solve it in cartesian form
If you follow the good advice given then you have $\displaystyle \rho + \rho \cos \phi = 3 \Rightarrow \sqrt{x^2 + y^2} + x = 3 \Rightarrow \sqrt{x^2 + y^2} = 3 - x$ and you should see what to do next.

5. that's what I got up to but couldn't do the next bit

6. Originally Posted by sonia1 that's what I got up to but couldn't do the next bit
It would save time if you said where you got up to and where you were stuck.

Now you square both sides and then simplify.

7. Originally Posted by sonia1 that's what I got up to but couldn't do the next bit
Get rid o' the square root.

#### Search Tags

convert, coordinates, polar, rectangular 