I'm having issues getting converting Polar functions to Cartesian functions. Take for example:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]rcos(\theta)=1[/tex] I just figured that since it was going to always equal the same thing, and because [tex]x=rcos(\theta)[/tex] that the Cartesian equation was x=1, and I was right.

However logic fails here:[tex]r=3sin(\theta)[/tex]

Now I know I have the following tools to work with:

[tex]x=rcos(\theta)[/tex]

[tex]y=rsin(\theta)[/tex]

[tex]r^{2}=x^{2}+y^{2}[/tex]

[tex]tan(\theta)=\frac{y}{x}[/tex]

I remember from an example in class that this form is a circle, but I want to be able to algebraically prove it. This looks simple compared to what's further down the page:

[tex]r=tan(\theta)sec(\theta)[/tex]

[tex]r=2sin(\theta)+2cos(\theta)[/tex]

I'm completely at a loss as to where I should begin. Is there some usual procedure for solving these problems?

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# Homework Help: Converting Polar To Cartesian

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