Find the half range sine series of the function f(x) = x, when 0<x<\(\frac{\pi}{2} \) and (π-x) when \(\frac{\pi}{2} \)<

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a) \(\frac{8}{\pi}[\frac{sinx}{1^{2}} – sin\frac{(3x)}{3^{2}} + sin \frac{(5x)}{5^2} – sin \frac{(7x)}{7^{2}} +……] \)
b) \(\frac{4}{\pi}[\frac{sinx}{1^{2}} + sin\frac{(3x)}{3^{2}} + sin \frac{(5x)}{5^2} + sin \frac{(7x)}{7^{2}} +……] \)
c) \(\frac{8}{\pi}[\frac{sinx}{1^{2}} + sin\frac{(3x)}{3^{2}} + sin \frac{(5x)}{5^2} + sin \frac{(7x)}{7^{2}} +……] \)
d) \(\frac{4}{\pi}[\frac{sinx}{1^{2}} – sin\frac{(3x)}{3^{2}} + sin \frac{(5x)}{5^2} – sin \frac{(7x)}{7^{2}} +……] \)