6. (a) Express the function f(x) = x in on [0, T] as a Fourier cosine series S(x). What is S(-1)?

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Chapter5: Inner Product Spaces
Section5.5: Applications Of Inner Product Spaces
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6. (a) Express the function f(x) = x in on [0, 1] as a Fourier cosine series S(x). What is S(-1)?
(b) The functions
{cos ( (n –
:n = 1,2, ...}
also form an orthonormal basis of PC[0,7]. Express f(x) = x as an infinite linear combination
of these functions.
Transcribed Image Text:6. (a) Express the function f(x) = x in on [0, 1] as a Fourier cosine series S(x). What is S(-1)? (b) The functions {cos ( (n – :n = 1,2, ...} also form an orthonormal basis of PC[0,7]. Express f(x) = x as an infinite linear combination of these functions.
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