Value of $$3+$$$$cot$$⁡$$80$$∘$$cot$$⁡$$20$$∘$$cot$$⁡$$80$$∘$$+$$$$cot$$⁡$$20$$∘ is equal to

Question

Value of $$3+$$$$cot$$⁡$$80$$∘$$cot$$⁡$$20$$∘$$cot$$⁡$$80$$∘$$+$$$$cot$$⁡$$20$$∘ is equal to

Infinity Learn · Accepted Answer

$$3+$$$$cos$$⁡$$80$$∘$$cos$$⁡$$20$$∘$$sin$$⁡$$80$$∘$$sin$$⁡$$20$$∘$$cos$$⁡$$80$$∘$$sin$$⁡$$80$$∘$$+$$$$cos$$⁡$$20$$∘$$sin$$⁡$$20$$∘$$=2sin$$⁡$$80$$∘$$sin$$⁡$$20$$∘$$+$$$$cos$$⁡$$80$$∘$$cos$$⁡$$20$$∘$$+$$$$sin$$⁡$$80$$∘$$sin$$⁡$$20$$∘$$sin$$⁡$$20$$∘$$cos$$⁡$$80$$∘$$+$$$$cos$$⁡$$20$$∘$$sin$$⁡$$80$$∘$$=$$−$$cos$$⁡$$100$$∘$$+$$$$cos$$⁡$$60$$∘$$+$$$$cos$$⁡$$60$$∘$$sin$$⁡$$100$$∘$$=1$$−$$cos$$⁡$$100$$∘$$sin$$⁡$$100$$∘$$=$$$$tan$$⁡$$50$$∘

Value of $\frac{3 + \cot 80^{\circ} \cot 20^{\circ}}{\cot 80^{\circ} + \cot 20^{\circ}}$ is equal to

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Value of 3+cot⁡80∘cot⁡20∘cot⁡80∘+cot⁡20∘ is equal to

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Value of $\frac{3 + \cot 80^{\circ} \cot 20^{\circ}}{\cot 80^{\circ} + \cot 20^{\circ}}$ is equal to