1. ## Polar Coordinates

The letters x and y represent the rectangular coordinates. Write each equation using polar coordinates (r, theta).

(1) x^2 + y^2 = x

(2) y^2 = 2x

2. Originally Posted by magentarita
The letters x and y represent the rectangular coordinates. Write each equation using polar coordinates (r, theta).

(1) x^2 + y^2 = x

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

(1)

$r^2=r\cos\theta$
$r^2-r\cos\theta=0$

(2)

$(r \sin \theta)^2=2(r \cos \theta)$

$r^2 \sin^2 \theta=2r \cos \theta$

$r^2 \sin^2 \theta-2r \cos \theta=0$

3. ## I love it!

Originally Posted by masters
$r^2=x^2+y^2$
$x=r\cos\theta$
$y=r\sin\theta$

(1)

$r^2=r\cos\theta$
$r^2-r\cos\theta=0$

(2)

$(r \sin \theta)^2=2(r \cos \theta)$

$r^2 \sin^2 \theta=2r \cos \theta$

$r^2 \sin^2 \theta-2r \cos \theta=0$
I love and look forward to your replies. Thank you for helping me.

4. Originally Posted by magentarita
I love and look forward to your replies. Thank you for helping me.
Thank you for saying that. It feels good to be appreciated.

5. ## ok

Originally Posted by masters
Thank you for saying that. It feels good to be appreciated.
You're welcome!