Is there a law of cosine for n-dimensional hyperbolic simplex

We know that, given an n-dimensional Euclidean simplex, for all $1\leq i,j,k,l\leq n+1$, we have(law of sines)$$\frac{A_i A_j}{A_k A_l}=\frac{c_{ij}}{c_{kl}}$$(from Elementary Formulas for a Hyperbolic Tetrahedron) And in http://www.emis.de/journals/JIPAM/images/106_03_JIPAM/106_03.pdf it mentioned some inequalities for simplexes in Euclidean space.

I wonder if there is a formula about law of sines and cosines for hyperbolic n-simplexes which only have terms: side lengths, area, dihedral angles.

Thanks.