If 15 sin⁴α + 10 cos⁴α = 6, find... | Trigonometry JEE Main

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JEE MAIN 2021

18-03-21 S2

Question

If $15 \sin ^4 \alpha+10 \cos ^4 \alpha=6$, for some $\alpha \in \mathrm{R}$, then then value of $27 \sec ^6 \alpha+8 \operatorname{cosec}^6 \alpha$ is equal to :

Select the correct option:

A

350

B

500

C

400

D

250

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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