Question

2. A periodic function can be expressed in a Fourier series
Theo
of the form, f(x) = (a, cos(nx) +b, sin(nx)) . The
n=0
functions f,(x) = cos²x and f2(x) = sin?x are expanded
in their respective Fourier series. If the coefficients for
the first series are am and b) and the coefficients
for the second series are a2 and b2) respectively,
then which of the following is correct ?
(1)
(a) a
and b 2
(b) b =
1
and a2)
2
Ta
2
2
= =
and a. = = (a) 6.5 = and bi?
= -1
(c) a =
2
(2)
2
2
[JAM PH-2005]
Ans. (C)​

Answer 1

Answer:

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Explanation:

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