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If $15 \sin^{4} α + 10 \cos^{4} α = 6$ then the value of $8 {cosec}^{6} α - 27 \sec^{6} α$ is

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Correct option is A

15tan4⁡α+10=61+tan2⁡α2⇒ 9tan4⁡α−12tan2⁡α+4=0⇒ tan2⁡α=2/3 so 8cosec6⁡α−27sec6⁡α=8(1+3/2)3−27(1+2/3)3=0

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If 15sin4⁡α+10cos4⁡α=6 then the value of 8cosec6⁡α−27sec6⁡α is

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If $15 \sin^{4} α + 10 \cos^{4} α = 6$ then the value of $8 {cosec}^{6} α - 27 \sec^{6} α$ is