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Question Number 102705 by dw last updated on 10/Jul/20

For what values of k (cosA−(1/5))(cosB−(1/5))(cosC−(1/5))≤k  hold in all triangles ABC?

$${For}\:{what}\:{values}\:{of}\:{k}\:\left({cosA}−\frac{\mathrm{1}}{\mathrm{5}}\right)\left({cosB}−\frac{\mathrm{1}}{\mathrm{5}}\right)\left({cosC}−\frac{\mathrm{1}}{\mathrm{5}}\right)\leqslant{k} \\ $$$${hold}\:{in}\:{all}\:{triangles}\:{ABC}? \\ $$

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