If \( f(x)=\sin \left[\pi^{2}\right] x+\sin \left[-\pi^{2}\right] x \), where \( [x] \) denotes ....

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If \( f(x)=\sin \left[\pi^{2}\right] x+\sin \left[-\pi^{2}\right] x \), where \( [x] \) denotes the
\( \mathrm{P} \)
greatest integer less than or equal \( x \), then \( f\left(\frac{\pi}{2}\right) \) is
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equal to


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