Fourier series expansion of f(t)=-t-pi if -pi<=t<0 and f(t)=t+pi if 0<=t<=pi, f(t+2pi)=f(t)

Introduction : In this question, we will obtain step by step Fourier series expansion of f(t)=-t-pi if -pi<=t<0 and f(t)=t+pi if 0<=t<=pi, f(t+2pi)=f(t).Question : Find Fourier series expansion of the following function \begin{equation*} f(t) = \left\{\begin{array}{ll} -t- \pi & \quad…

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