E= F= 2 131 10 11 02 210 0 1 2 3 1 -2 200 0 31 5 3 -7 0 4 2 01 10 1 021 1 0011 {0

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A: We expand f(x)=cosx as a half-range Fourier sine series in [0,π].

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A: Answer 2 is different, -sign will appear in front of sin terms

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A: This is a question of Linear Algebra, Linear Transformation.