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In-ABC-show-that-1-cos-A-B-cos-C-h-C-sec-C-3-2-R-




Question Number 196555 by hardmath last updated on 27/Aug/23
In  △ABC  show that  Σ ((1 + cos ∙ (A − B) ∙ cos C)/(h_C  ∙ sec C))  =  (3/(2 R))
$$\mathrm{In}\:\:\bigtriangleup\mathrm{ABC}\:\:\mathrm{show}\:\mathrm{that} \\ $$$$\Sigma\:\frac{\mathrm{1}\:+\:\mathrm{cos}\:\centerdot\:\left(\mathrm{A}\:−\:\mathrm{B}\right)\:\centerdot\:\mathrm{cos}\:\mathrm{C}}{\mathrm{h}_{\boldsymbol{\mathrm{C}}} \:\centerdot\:\mathrm{sec}\:\mathrm{C}}\:\:=\:\:\frac{\mathrm{3}}{\mathrm{2}\:\mathrm{R}} \\ $$

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