If \( 10 \sin ^{4} \alpha+15 \cos ^{4} \alpha=6 \). Find the value of \( 27 \operatorname{cosec}...

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If \( 10 \sin ^{4} \alpha+15 \cos ^{4} \alpha=6 \). Find the value of \( 27 \operatorname{cosec}^{6} \alpha+8 \sec ^{6} \alpha \)
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