For each n, write in terms of polar coordinates . So , . (For n=0, take .) Then .
I am having some trouble with the following problem:
Show that the Fourier series:
can be written in the form
where . Express in terms of and .
Ok so I got down to the fourier series being equal to this:
which is not exactly what we want especially the .
Any suggestion??
Also any idea how to do "Express in terms of and ."???
I thought that in a Fourier Series the coefficients had to be:
So can I still just rewrite the way you show me??? Sorry I am just trying to make sure I have a good understanding of it all.
Also to express in terms of and , I am guessing it would be something like:
Yes, but you are given and in the statement of the question (and you are not given the function f, except in terms of its Fourier coefficients). So those formulas for and are not relevant to this question.
will be either or , depending on the signs of and .