Triangle relation November 21, 2020 Tolaso Prove that in any triangle it holds that They might interest you:Sum of reciprocal sequenceLimitArctan seriesMaximum of a functionAn inequalityAn arccot sumA double factorial sumSum of cosinesIntegral representation of gamma
it holds that![\[\left ( \frac{\beta}{\gamma} + \frac{\gamma}{\beta} \right ) \cos \mathrm{A} + \left ( \frac{\gamma}{\alpha} + \frac{\alpha}{\gamma} \right ) \cos \mathrm{B} + \left ( \frac{\alpha}{\beta} + \frac{\beta}{\alpha} \right ) \cos \Gamma = 3\]](https://www.math.tolaso.com.gr/wp-content/ql-cache/quicklatex.com-ef84152023ca0aa984dc6234d03beac1_l3.png "Rendered by QuickLaTeX.com")
it holds that