I am studying electrical engineering at university level in the UK. As part of a course on Circuit and Signal processing I have tutorial sheets on Fourier Analysis.
I am fine with fourier analysis except when I start to look at exponential fourier series, I have the question, I even have the answers and how the tutor reached the answer (the workings). But I am not understanding how he is jumping from one line to another. I have attached the whole solution but the bit that I am misunderstanding is:
where j = complex number , how is j moving from the denominator to the numerator?
surely the next line should be
Any help would be greatly appreciated. Thanks Ed.
Thanks Captain Black, to clarify my understanding:
If I had and I multiplied top and bottom by 5 then the answer would be which is still the actual values haven't changed just the figures representing them. So is it the case that with that is which effectively gets lost within the other numbers?
So actually the steps are as below, but then how are you moving the minus from the denominator to the numerator?