If in a \( \triangle A B C \), \( \sin ^{4} A+\sin ^{4} B+\sin ^{4} C \) \( =\sin ^{2} B \sin ^{...
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If in a \( \triangle A B C \),
\( \sin ^{4} A+\sin ^{4} B+\sin ^{4} C \)
\( =\sin ^{2} B \sin ^{2} C+2 \sin ^{2} C \sin ^{2} A+2 \sin ^{2} A \sin ^{2} B \), then \( A= \)
(A) \( \frac{\pi}{6}, \frac{5 \pi}{6} \)
(B) \( \frac{\pi}{3}, \frac{5 \pi}{6} \)
(C) \( \frac{5 \pi}{6}, \frac{2 \pi}{3} \)
(D) none of these
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