Simple polar to cartesian conversion

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Find a Cartesian equation for the curve.
18=rcos \theta

\frac{\ 18}{cos \theta}= \sqrt{x^2+y^2}

how do I get rid of the cosine?
 
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Don't divide by it! What is r cos(\theta) in terms of x and y coordinates? In other words, x= ? , y= ? in polar coordinates.
 
x=18 is the solution. I can't believe it.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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