Menu Close

In-ABC-holds-2-3-tan-B-2-1-3-tan-2-A-2-9-2-




Question Number 188898 by Shrinava last updated on 08/Mar/23
In △ABC holds:   Σ ((2 + (√3) tan (B/2))/(1 + 3 tan^2  (A/2))) ≥ (9/2)
$$\mathrm{In}\:\bigtriangleup\mathrm{ABC}\:\mathrm{holds}:\:\:\:\Sigma\:\frac{\mathrm{2}\:+\:\sqrt{\mathrm{3}}\:\mathrm{tan}\:\frac{\mathrm{B}}{\mathrm{2}}}{\mathrm{1}\:+\:\mathrm{3}\:\mathrm{tan}^{\mathrm{2}} \:\frac{\mathrm{A}}{\mathrm{2}}}\:\geqslant\:\frac{\mathrm{9}}{\mathrm{2}} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *