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  4. If 10 sin4α+15 cos4α=6, α ϵ(-(π/2), (π/2)), then 27 cosec6α+8 sec6α is equal to :

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Q. If $10\,sin^{4}\alpha+15\,cos^{4}\alpha=6, \alpha\,\epsilon\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$, then 27 $cosec^{6}\alpha+8\,sec^{6}\alpha$ is equal to :

JEE MainJEE Main 2020Trigonometric Functions

Solution:

Correct answer is (a) $250$