Cartesian to polar

**nerdo** · November 20th 2011, 12:48 PM

Hi

I just have a quick question: how do I change x=1-y in to polar coordinates.

It is for an integration limit problem that I am working on.

Thanks

Nerdo

**Quacky** · November 20th 2011, 12:53 PM

Is there something stopping you from substituting in $x=r\cos\theta$ and $y=r\sin\theta$ ? Am I missing something?

**nerdo** · November 20th 2011, 12:57 PM

Originally Posted by Quacky

Is there something stopping you from substituting in $x=r\cos\theta$ and $y=r\sin\theta$ ? Am I missing something?

once I done that I get $cos\theta+sin\theta=1/r$

Is it possible to write it in terms of theta

**Quacky** · November 20th 2011, 01:07 PM

It is possible, I think.

$\cos\theta{+}\sin\theta =\frac{1}{r}$

Squaring both sides gives:

$(\cos\theta{+}\sin\theta )^2=\frac{1}{r^2}$

$1+\underbrace{2\sin\theta\cos\theta}=\frac{1}{r^2}$
Recognize this, at all?

Edit: Corrected a mistake.

**Quacky** · November 20th 2011, 01:09 PM

I've just editted a mistake from the post above.

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