Find the exact value of the trigonometric expression given that $\sin (u)=\frac{5}{13}$, $\cos (v)=-\frac{4}{5}$, and both $u$ and $v$ are in the second quadrant.
$\sin (u+v)=$ □
$\cos (u-v)=$ □
$\tan (u+v)=$ □
$\sin (u+v)=$ □
$\cos (u-v)=$ □
$\tan (u+v)=$ □