If α+β=π4\alpha + \beta = \frac{\pi}{4}α+β=4π and tanα=12\tan\alpha = \frac{1}{2}tanα=21, what is the value of tanβ\tan\betatanβ?
12\frac{1}{2}21
13\frac{1}{3}31
111
23\frac{2}{3}32