Question
(b) Assuming the Fourier series of
is given by
where
is the half period. Complete the steps below:
(i) Determine the Fourier coefficient
. Enter EXACT value:
(i) Determine the Fourier coefficient
Ask by Tran Mullins. in the United Kingdom
Mar 28,2025
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The Deep Dive
To determine the Fourier coefficient
for the function
, we use the formula:
This coefficient represents the average value of the function over one period. To compute
, you would evaluate the integral
and then divide by
. Remember,
is specified as the half period. Therefore, for the full period from
to
, the result gives a solid basis for understanding the function’s behavior in its Fourier representation! Don’t forget that the function’s properties (like symmetry) can simplify your calculations significantly!