The Fourier cosine series for an even function f(x) is given

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The Fourier cosine series for an even function f(x) is given by

The value of the coefficient a₂ for the function f(x) = cos²(x) in [0, π] is

1. –0.5
2. 0.0
3. 0.5
4. 1.0

Correct Option: C

cos²x =	1 + cos²x
	2

f(x) =	1	+	cos²x
	2		2

a₀ = 1
a₁ = 0
a₂ = 1/2