The value of $36\left(4 \cos ^2 9^{\circ}-1\right)\left(4 \cos ^2 27^{\circ}-1\right)\left(4 \cos ^2 81^{\circ}-1\right)$ $\left(4 \cos ^2 243^{\circ}-1\right)$ is [JEE Main 2023, 8 Apr (Shift 2)]

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The value of \(36\left(4 \cos ^2 9^{\circ}-1\right)\left(4 \cos ^2 27^{\circ}-1\right)\left(4 \cos ^2 81^{\circ}-1\right…

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