Rectangular to Polar Form?

**iluvmathbutitshard** · May 26th 2010, 12:14 PM

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

Thank you, I really appreciate it.

**masters** · May 26th 2010, 12:51 PM

Originally Posted by iluvmathbutitshard

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

Thank you, I really appreciate it.

Hi iluvmathbutitshard,

Convert $y=x^2$ into polar form.

In this case there really isn’t much to do other than plugging in the formulas for x and y.

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

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

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

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

$r=\frac{\sin \theta}{\cos^2 \theta}$

**iluvmathbutitshard** · May 26th 2010, 12:57 PM

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)

**masters** · May 26th 2010, 01:20 PM

Originally Posted by iluvmathbutitshard

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)

Yes.

$r=\frac{\sin \theta}{\cos^2 \theta} \Longrightarrow \frac{\sin \theta}{\cos \theta}\cdot \frac{1}{\cos \theta}={\color{red}\tan \theta \sec \theta}$

Thread: Rectangular to Polar Form?

LinkBack

Thread Tools

Display

Rectangular to Polar Form?

Similar Math Help Forum Discussions

Polar Equation to Rectangular Form

Converting from Polar form to Rectangular form

Rectangular into polar form

Polar to rectangular form

Polar to rectangular form.

Search Tags