$$tan$$ $$9$$°$$-$$$$tan$$ $$27$$°$$-$$$$tan$$ $$63$$°$$+$$$$tan$$ $$81$$ ° is equal to

Question

$$tan$$ $$9$$°$$-$$$$tan$$ $$27$$°$$-$$$$tan$$ $$63$$°$$+$$$$tan$$ $$81$$ ° is equal to

Infinity Learn · Accepted Answer

We have,$$tan$$⁡$$9$$∘−$$tan$$⁡$$27$$∘−$$tan$$⁡$$63$$∘$$+$$$$tan$$⁡$$81$$∘$$=$$$$tan$$⁡$$9$$∘$$+$$$$tan$$⁡$$81$$∘−$$tan$$⁡$$27$$∘$$+$$$$tan$$⁡$$63$$∘$$=$$$$tan$$⁡$$9$$∘$$+$$$$cot$$⁡$$9$$∘−$$tan$$⁡$$27$$∘$$+$$$$cot$$⁡$$27$$∘$$=1sin$$⁡$$9$$∘$$cos$$⁡$$9$$∘−$$1sin$$⁡$$27$$∘$$cos$$⁡$$27$$∘$$=2sin$$⁡$$18$$∘−$$2sin$$⁡$$54$$∘$$=2sin$$⁡$$54$$∘−$$sin$$⁡$$18$$∘$$sin$$⁡$$54$$∘$$sin$$⁡$$18$$∘$$=2cos$$⁡$$36$$∘−$$sin$$⁡$$18$$∘$$sin$$⁡$$18$$∘$$cos$$⁡$$36$$∘$$=4$$

$\tan 9 ° - \tan 27 ° - \tan 63 ° + \tan 81 °$ is equal to

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tan 9°-tan 27°-tan 63°+tan 81 ° is equal to

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$\tan 9 ° - \tan 27 ° - \tan 63 ° + \tan 81 °$ is equal to