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Find the best function in the least-squares sense of the form f(x) = a sin(πx) +...

Find the best function in the least-squares sense of the form f(x) = a sin(πx) + b cos(πx) that fits the data {(-1,-1),(-0.5,0),(0,1),(0.5,2),(1,1)}. Provide all details of the computation.

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