How do I convert y = x^2 to polar form?
Thank you, I really appreciate it.
Hi iluvmathbutitshard,
Convert $\displaystyle y=x^2$ into polar form.
In this case there really isn’t much to do other than plugging in the formulas for x and y.
$\displaystyle x=r\cos\theta \:\:and\:\:y=r\sin \theta$
$\displaystyle r\sin \theta=(r\cos \theta)^2$
$\displaystyle r^2 \cos^2 \theta=r\sin \theta$
$\displaystyle r\cos^2 \theta=\sin \theta$
$\displaystyle r=\frac{\sin \theta}{\cos^2 \theta}$