If 10 sin ⁴θ + 15 cos ⁴θ = 6, then the value of (27 csc ⁶θ + 8 sec ⁶θ)/(16 sec ⁸θ) is:

Trigonometry: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q145

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumTrigonometry118× since 2002

If 10\sin⁴\theta + 15\cos⁴\theta = 6, then the value of \displaystyle \frac{27\csc⁶\theta + 8\sec⁶\theta}{16\sec⁸\theta} is:

JEE Main 2025 · April, Unspecified (session-level dataset) · Q145

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumTrigonometry118× since 2002

If 10\sin⁴\theta + 15\cos⁴\theta = 6, then the value of \displaystyle \frac{27\csc⁶\theta + 8\sec⁶\theta}{16\sec⁸\theta} is: