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GATE EE 2019 Set 1 — Question 38

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MCQ+2 / -0.67MediumFourier SeriesCalculusEngineering MathematicsFourier Series (CT & DT)Fourier Analysis & SamplingSignals & Systems

Engineering Mathematics → Calculus → Fourier Series

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Question

A periodic function f(t)f(t), with a period of 2π2\pi, is represented as its Fourier series,f(t)=a0+∑n=1∞ancos⁡nt+∑n=1∞bnsin⁡nt.f(t) = a_0 + \sum_{n=1}^{\infty} a_n \cos nt + \sum_{n=1}^{\infty} b_n \sin nt.Iff(t)={Asin⁡t,0≤t≤π0,π<t<2π,f(t) = \begin{cases} A \sin t, & 0 \leq t \leq \pi \\ 0, & \pi < t < 2\pi \end{cases},the Fourier series coefficients a1a_1 and b1b_1 of f(t)f(t) are
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