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Consider the first full period of the sine function: sin(x), 0 < x < 2π. (1)...

Consider the first full period of the sine function: sin(x), 0 < x < 2π.

(1) Plot the original function and your four-term approximation using a computer for the range −2π < x < 0. Comment.

(2) Expand sin(x), 0 < x < 2π, in a Fourier sine series.

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