If \( \sin x+\sin ^{2} x=1 \), then write the value of \( \cos ^{12} x+3 \cos ^{10} x+3 \cos ^{8...

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If \( \sin x+\sin ^{2} x=1 \), then write the value of \( \cos ^{12} x+3 \cos ^{10} x+3 \cos ^{8} x+\cos ^{6} x \)
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