Y by Adventure10, sohere, Mango247
Let
,
and
be three acute angles such that
. Show that
![\[\tan^{2}\alpha+\tan^{2}\beta+\tan^{2}\gamma \geq \frac{3}{8}. \]](//latex.artofproblemsolving.com/b/9/9/b99b1c97a2fc94d68bb3f5cd2e172fe415a7b94c.png)




![\[\tan^{2}\alpha+\tan^{2}\beta+\tan^{2}\gamma \geq \frac{3}{8}. \]](http://latex.artofproblemsolving.com/b/9/9/b99b1c97a2fc94d68bb3f5cd2e172fe415a7b94c.png)
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