2.6.2.26 Trigonometric Fourier series
condition: Expand into a Fourier series the periodic (with period \( 2 \pi \) ) function \( f(x) \) defined on the interval \( [-\pi ; \pi] \). \[ f(x)=\left\{\begin{array}{ll} 0, & -\pi \leq x \leq 0 \\ 6 x-5, & 0 \leq x \leq \pi \end{array}\right. \]
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.