Important points in polar coordinates?

SELFMADE
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I am going to have a test on polar coordinates next week. What are the most important things to remember?
 
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What class is this for?

The question by itself is actually pretty silly though to be honest. You know more than us what your teacher/professor will ask and what he feels is important to test people on and how his tests go.
 
calculus II

can anyone just give me like the important, difficult ideas in polar coordinates? so I can have some point on which to concentrate/work around
 

Thread 'Finding the nth roots of a complex number'

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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