Let f(x)={−π,if−π<x≤0π,if0<x≤πbe a periodic function of pe – InterviewSolution

1.	Let f(x)={−π,if−π<x≤0π,if0<x≤πbe a periodic function of period 2π. The coefficient of sin5x in the Fourier series expansion of f(x) in the interval [−π,π] is
Answer» Let $f (x) = {\begin{matrix} - π, if & - π < x \leq 0 π, if & 0 < x \leq π \end{matrix}$ be a periodic function of period $2 π$ . The coefficient of $sin 5 x$ in the Fourier series expansion of f(x) in the interval $[- π, π]$ is

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