In $ \triangle ABC $, if $ a = 2 $, $ B = \tan^{-1} \frac{1}{2} $, and $ C = \tan^{-1} \frac{1}{3} $, then $ (A, b) = $?

Question

$(\frac{3\pi}{4}, \frac{2\sqrt{2}}{\sqrt{5}})$

$(\frac{\pi}{4}, \frac{2}{\sqrt{5}})$

$(\frac{3\pi}{4}, \frac{2}{\sqrt{5}})$

$(\frac{\pi}{4}, \frac{2\sqrt{2}}{\sqrt{5}})$

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