Find the value of \( m^{2} \sin \frac{1}{2} \pi-n^{2} \sin \frac{3}...

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Find the value of \( m^{2} \sin \frac{1}{2} \pi-n^{2} \sin \frac{3}{2} \pi+2 m n \sec \pi \).
\( \mathrm{P} \)
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