Electrical Engineering > GATE 2019 > Fourier Analysis
A periodic function $f(t)$ with a period of 27, is represented as its Fourier series, $f(t)=a_{0}+\sum_{n=1}^{\infty}a_{n}cos~nt+\sum_{n=1}^{\infty}b_{n}sin~nt$ If $f(t)=\{\begin{matrix}A~sin~t,0\le t\le\pi\\ 0,&\pi
A
$a_{1}=\frac{A}{\pi};$ $b_{1}=0$
B
$a_{1}=\frac{A}{2};$ $b_{1}=0$
C
$a_{1}=0;$ $b_{1}=A/\pi$
D
$a_{1}=0;$ $b_{1}=\frac{A}{2}$

Correct : d

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