2.6.2.29 Trigonometric Fourier series
condition: Construct a graph of the function \( f(x) \), make sure that it satisfies the Dirichlet conditions, expand it into a Fourier series on a given interval. \[ f(x)=\left\{\begin{array}{cl} -x-1, & x \in(-1 ; 0) \\ 1, & x \in(0 ; 1) \end{array}\right. \]
Trigonometric Fourier series - calculation of Fourier coefficients, expansion of functions in cosines and sines, plotting graphs of the sum of the Fourier series using the Dirichlet theorem, as well as graphs of partial sums.