Question Number 175250 by Shrinava last updated on 24/Aug/22
$$\mathrm{If}\:\mathrm{in}\:\:\bigtriangleup\mathrm{ABC}\:\:\mathrm{and}\:\:\mathrm{A}\:=\:\frac{\mathrm{2}\pi}{\mathrm{3}}\:\:\mathrm{then}: \\ $$$$\left(\sqrt{\frac{\mathrm{1}}{\mathrm{sinB}}}\right)^{\mathrm{3}} +\:\left(\sqrt{\frac{\mathrm{1}}{\mathrm{sinC}}}\right)^{\mathrm{3}} \geqslant\:\mathrm{4}\:\sqrt{\mathrm{2}} \\ $$