Fourier series: The complex Fourier series
Computing a Fourier series
We consider the periodic continuation of the function \[ f(t)=\begin{cases} \sin(t) & \text{if }\quad\, 0\le t\le \pi \\ 0 & \text{if } -\pi< t< 0\end{cases} \]
Calculate the first terms of the Fourier series, via the complex Fourier series, with at most three sine terms and at most three cosine terms, but with three terms of at least one of these kinds of functions.
Calculate the first terms of the Fourier series, via the complex Fourier series, with at most three sine terms and at most three cosine terms, but with three terms of at least one of these kinds of functions.
\(f(x)\approx{}\) |
Unlock full access