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I have a harmonic function which is a product of cosines (something with many cos(k*phi)) and it can be represented as a finite series with only cos terms... We know it...

Now. Every step we multiply this function by one more cos and want to find the Fourier coefs.

So, I don't understand two things...

1. There is no any method in Matlab to generate functions of variables as I understand... So, how can I provide this updating? I need that function of phi...

2. Is there any command for finding nth Fourier coefficient of function, not a vector?

Any useful tips?