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A comment on An Interactive Introduction to Fourier Transforms. Parent comment

Re:An Interactive Introduction to Fourier Transforms by EmilioMartinez on Monday November 16, 2020 @04:43AM (#25109889)
>sines and cosines are polynomials evaluated on the complex unit circle

Could you explain further?

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Re:An Interactive Introduction to Fourier Transforms by enriquto on Monday November 16, 2020 @05:15AM (#25110089)
If you evaluate the complex function f(x)=z^n on the unit circle z=exp(it), you obtain cos(nt)+i sin(nt). Thus Fourier series are "just" Taylor series evaluated on the unit circle.
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