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

(1)

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

(2)

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

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

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

3. I love it!

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

(1)

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

(2)

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

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

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