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In-a-ABC-a-cot-A-b-cot-B-c-cot-C-




Question Number 25985 by Vignesh vkj last updated on 17/Dec/17
In a △ABC, a cot A+ b cot B+c cot C =
$$\mathrm{In}\:\mathrm{a}\:\bigtriangleup{ABC},\:{a}\:\mathrm{cot}\:{A}+\:{b}\:\mathrm{cot}\:{B}+{c}\:\mathrm{cot}\:{C}\:= \\ $$
Answered by ajfour last updated on 17/Dec/17
Σacot A =Σ(√(4R^2 −a^2 ))  R is the circumradius .
$$\Sigma{a}\mathrm{cot}\:{A}\:=\Sigma\sqrt{\mathrm{4}{R}^{\mathrm{2}} −{a}^{\mathrm{2}} } \\ $$$${R}\:{is}\:{the}\:{circumradius}\:. \\ $$

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