Engineering Mathematics Transform Theory Fourier Transform

If f(x) = x is expressed as a half range sine series in (0, 2), then which of the following is/are the coefficient of sin πx in the series is

1
\(\frac{2}{\pi }\)
2
\(\frac{{ - 2}}{\pi }\)
3
\(\frac{1}{\pi }\)
4
\(\frac{{ - 1}}{\pi }\)

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