$\text{ The value of }36\left(4{\cos }^{2}9^\circ -1\right)\left(4{\cos }^{2}27^\circ -1\right)\left(4{\cos }^{2}81^\circ -1\right)\left(4{\cos }^{2}243^\circ -1\right)\text{ is }$ [JEE Main 2023, 08 Apr (Shift 2)]

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\(\text{ 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^\ci…

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