# FOURIER SERIESEvery periodic function f(t) which has the period T 2Tt/oand has certain continuity conditions can be represented by aseries plus a constantfAt)= aa, cos (noof)b,sin (n)п %3The above holds iff(t) has a continuous derivative f'(t) forall t. It should be noted that the various sinusoids present inthe series are orthogonal on the interval 0 to T and as a resultthe coefficients are given by0(1/T)t)dta, (2/T)t) cos (nf)dt(2/T)t)sin(nwof)dt-T1,2, ...п %3DCOS1,2,..П —The constants anand bn are the Fourier coefficients of f(t) forthe interval 0 to T and the corresponding series is called theFourier series of f(t) over the same interval. SRasdeAo=3 Cosnwt ctsinsnwnusSinwsSinnwatdlACOSShws1)5nwsPEL= 3 +S6SintnussCoSsnw t6COS(SnWa 65nwoSin pwot

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Asked Nov 27, 2019
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Hi,

kindly advise if my answer is accurate or not based on the given Fourier series coefficients.

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Step 1

The solution for the given Fourier series problem can be obtained as follows. Compute the coefficient a0 as follows.

Step 2

Compute the coefficient an as follows.

Step 3

Compute the coefficient bn as follows.   ...

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