If 15 \sin ^{4} \alpha+10 \cos ^{4} \alpha=6, for some \alpha \in R, then the value of 27 \sec ^{6} \alpha+8 cosec^{6} \alpha is equal to [18 Mar 2021 Shift 2]

JEE Main 18 March 2021 Shift 2 Solved Paper

Section: Mathematics

Question : 78 of 90

Marks: +1, -0

If 15sin4α+10cos4α=6, for some α∈R, then the value of 27sec6α+8cosec6α is equal to

[18 Mar 2021 Shift 2]

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