The value of $$tan$$⁡$$6$$∘$$tan$$⁡$$42$$∘$$tan$$⁡$$66$$∘$$tan$$⁡$$78$$∘, is

Question

The value of $$tan$$⁡$$6$$∘$$tan$$⁡$$42$$∘$$tan$$⁡$$66$$∘$$tan$$⁡$$78$$∘, is

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We have,$$tan$$⁡$$6$$∘$$tan$$⁡$$42$$∘$$tan$$⁡$$66$$∘$$tan$$⁡$$78$$∘$$=$$$$tan$$⁡$$6$$∘$$tan$$⁡$$60$$∘−$$18$$∘$$tan$$⁡$$60$$∘$$+6$$∘$$tan$$⁡$$60$$∘$$+18$$∘$$=$$$$tan$$⁡$$6$$∘$$tan$$⁡$$60$$∘$$+6$$∘$$tan$$⁡$$18$$∘$$tan$$⁡$$60$$∘−$$18$$∘$$tan$$⁡$$60$$∘$$+18$$∘$$tan$$⁡$$18$$∘$$=$$$$tan$$⁡$$6$$∘$$tan$$⁡$$60$$∘$$+6$$∘$$tan$$⁡$$3$$×$$18$$∘$$tan$$⁡$$18$$∘$$=$$$$tan$$⁡$$6$$∘$$tan$$⁡$$60$$∘−$$6tan$$⁡$$60$$∘$$+6tan$$⁡$$18$$∘$$=$$$$tan$$⁡$$18$$∘$$tan$$⁡$$18$$∘$$=1$$

The value of $\tan 6^{\circ} \tan 42^{\circ} \tan 66^{\circ} \tan 78^{\circ}$ , is

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The value of tan⁡6∘tan⁡42∘tan⁡66∘tan⁡78∘, is

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The value of $\tan 6^{\circ} \tan 42^{\circ} \tan 66^{\circ} \tan 78^{\circ}$ , is