22. (2023•朝阳区校级模拟)已知α\alphaα,β\betaβ均为锐角,且cos(α+β)=sinαsinβ\cos (\alpha +\beta )=\frac{\sin \alpha }{\sin \beta }cos(α+β)=sinβsinα,则tanα\tan \alphatanα的最大值是((( )))