If 10 sin⁴ θ + 15 cos⁴ θ = 6, then the value of (27 csc⁶ θ + 8 se… | JEE Main 2025 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2025 · 4 April, Shift 1Trigonometric Ratios & Identities

If $10 \sin^4 \theta + 15 \cos^4 \theta = 6$ , then the value of $\frac{27 \csc^6 \theta + 8 \sec^6 \theta}{16 \sec^8 \theta}$ is:

A
$\frac{2}{5}$
B
$\frac{3}{4}$
C
$\frac{3}{5}$
D
$\frac{1}{5}$

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