$$tan$$⁡$$81$$∘−$$tan$$⁡$$63$$∘−$$tan$$⁡$$27$$∘$$+$$$$tan$$⁡$$9$$∘ equals

Question

$$tan$$⁡$$81$$∘−$$tan$$⁡$$63$$∘−$$tan$$⁡$$27$$∘$$+$$$$tan$$⁡$$9$$∘ equals

Infinity Learn · Accepted Answer

$$tan$$⁡$$81$$∘−$$tan$$⁡$$63$$∘−$$tan$$⁡$$27$$∘$$+$$$$tan$$⁡$$9$$∘$$=$$$$tan$$⁡$$81$$∘$$+$$$$tan$$⁡$$9$$∘−$$tan$$⁡$$63$$∘$$+$$$$tan$$⁡$$27$$∘$$=$$$$sin$$⁡$$81$$∘$$cos$$⁡$$81$$∘$$+$$$$sin$$⁡$$9$$∘$$cos$$⁡$$9$$∘−$$sin$$⁡$$63$$∘$$cos$$⁡$$63$$∘$$+$$$$sin$$⁡$$27$$∘$$cos$$⁡$$27$$∘$$=$$$$sin$$⁡$$81$$∘$$cos$$⁡$$9$$∘$$+$$$$sin$$⁡$$9$$∘$$cos$$⁡$$81$$∘$$cos$$⁡$$9$$∘$$cos$$⁡$$81$$∘−$$sin$$⁡$$63$$∘$$cos$$⁡$$27$$∘$$+$$$$sin$$⁡$$27$$∘$$cos$$⁡$$63$$∘$$cos$$⁡$$27$$∘$$cos$$⁡$$63$$∘$$=$$$$sin$$⁡$$81$$∘$$+9$$∘$$cos$$⁡$$9$$∘$$cos$$⁡$$90$$∘−$$9$$∘−$$sin$$⁡$$63$$∘$$+27$$∘$$cos$$⁡$$27$$∘$$cos$$⁡$$90$$∘−$$27$$∘$$=$$$$sin$$⁡$$90$$∘$$cos$$⁡$$9$$∘$$sin$$⁡$$9$$∘−$$sin$$⁡$$90$$∘$$cos$$⁡$$27$$∘$$sin$$⁡$$27$$∘$$=1sin$$⁡$$9$$∘$$cos$$⁡$$9$$∘×$$22$$−$$1sin$$⁡$$27$$∘$$cos$$⁡$$27$$∘×$$22=2sin$$⁡$$18$$∘−$$2sin$$⁡$$54$$∘$$=2sin$$⁡$$54$$∘−$$sin$$⁡$$18$$∘$$sin$$⁡$$18$$∘$$sin$$⁡$$54$$∘$$=22cos$$⁡$$36$$∘$$sin$$⁡$$18$$∘$$sin$$⁡$$18$$∘$$cos$$⁡$$36$$∘$$=4$$

$\tan 81^{\circ} - \tan 63^{\circ} - \tan 27^{\circ} + \tan 9^{\circ}$ equals

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tan⁡81∘−tan⁡63∘−tan⁡27∘+tan⁡9∘ equals

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$\tan 81^{\circ} - \tan 63^{\circ} - \tan 27^{\circ} + \tan 9^{\circ}$ equals