How do I convert y = x^2 to polar form?

Thank you, I really appreciate it.

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- May 26th 2010, 12:14 PMiluvmathbutitshardRectangular to Polar Form?
How do I convert y = x^2 to polar form?

Thank you, I really appreciate it. - May 26th 2010, 12:51 PMmasters
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.*

$\displaystyle x=r\cos\theta \:\:and\:\:y=r\sin \theta$

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

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

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

$\displaystyle r=\frac{\sin \theta}{\cos^2 \theta}$ - May 26th 2010, 12:57 PMiluvmathbutitshard
Thank you for answering. This is actually the answer I got, but does it translate into a different identity? Because the choices I have been given are:

r = cot(theta) csc(theta)

r = tan(theta) sec(theta)

r = tan(theta)

r = cot(theta) - May 26th 2010, 01:20 PMmasters