Prove that \( \sin ^{4} \frac{\pi}{8}+\sin ^{4} \frac{3 \pi}{8}+\si...

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Prove that \( \sin ^{4} \frac{\pi}{8}+\sin ^{4} \frac{3 \pi}{8}+\sin ^{4} \frac{5 \pi}{8}+\sin ^{4} \frac{7 \pi}{8}=\frac{3}{2} \)
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