\(tana=\dfrac{\sqrt{5}}{3}\)
=>\(\dfrac{sina}{cosa}=\dfrac{\sqrt{5}}{3}\)
=>\(sina=cosa\cdot\dfrac{\sqrt{5}}{3}\)
\(B=\dfrac{2\cdot cosa+\dfrac{\sqrt{5}}{3}\cdot cosa}{5\cdot cosa-3\cdot\dfrac{\sqrt{5}}{3}\cdot cosa}=\left(2+\dfrac{\sqrt{5}}{3}\right):\left(5-\sqrt{5}\right)\)
\(=\dfrac{6+\sqrt{5}}{3\left(5-\sqrt{5}\right)}=\dfrac{35+11\sqrt{5}}{40}\)