\( \sin ^{4} \theta+\sin ^{4} 3 \theta+\sin ^{4} 5 \theta+\sin ^{4} 7 \theta \) where \( 0=\frac...

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\( \sin ^{4} \theta+\sin ^{4} 3 \theta+\sin ^{4} 5 \theta+\sin ^{4} 7 \theta \) where \( 0=\frac{\pi}{16} \)
A. 1
B. \( \frac{1}{2} \)
C. \( \frac{\sqrt{3}}{2} \)
D. \( \frac{3}{2} \)
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