(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

It's not a homework problem itself, but rather a general method that I imagine is similar to homework. For a given elementary complex function in the form of the product, sum or quotient of polynomials, there are conventional methods for converting them to polar form. The problem however is that only very few people across varying sources understand the subject well enough to explain the concise procedure of converting these functions to polar form, even for specific cases, and thus the commonality between the solutions of different problems is convoluted.

2. Relevant equations

What is the procedure for representing elementary functions of a complex variable in polar form by finding their absolute value and argument?

3. The attempt at a solution

From what I have seen, I can guess that the first step is likely to arrange the function into the form of f(z) = u +iv which can help with both finding the absolute value and the argument, though I won't say I know that for certain. Beyond that, I am not sure of a definite pattern, although the atan2 operator comes up often which makes sense as the angle of a complex number could be found with an arctangent.

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# Homework Help: How do you always put a complex function into polar form?

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