Prove that: \[ \sin ^{2} 72^{\circ}-\cos ^{2} 30^{\circ}=\frac{\sqrt{5}-1}{8} \]
Prove that:
\[
\sin ^{2} 72^{\circ}-\cos ^{2} 30^{\circ}=\frac{\sqrt{5}-1}{8}
\]
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