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

http://www-thphys.physics.ox.ac.uk/people/JamesBinney/complex.pdf

Example 1.2 (Page 6)

2. Relevant equations

De Moivre's Theorem, Euler's Formula, and other simple complex number theory formulas

3. The attempt at a solution

I'm having troubles understanding the format, which makes me thing the author is assuming prior knowledge in another area of math.

What I don't understand is where he gets the mSYMBOL format from. I don't know what that symbol is, so I couldn't google it. I get all of the simplifying, except for when the conversion happens to and from the mSYMBOL. It looks like he's simply converting the sin(2n + 1) to the complex exponential function, but how can you do that without i?

I know sin(n) = 1/(2i) * (e^(in)-e^(-in)), but that's not even close to the result they got.

If that's the case, then my question is, how is this transformation happening?

Again, I understand the simplifying of the series, just not the transformation to and from the complex exponential.

Hopefully I explained that well enough. Any help would be appreciated.

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# Homework Help: Example Proof using Complex Numbers

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