Solve this problem using a huge example:

Generalized Law of Sines The generalized law of sines applies to a simplex in space of any dimension with constant Gaussian curvature. Let us work up to that. Initially in two-dimensional space, we define a generalized sine function for a one-dimensional simplex (line segment) with content (length) S in space of constant Gaussian curvature K as gsin S = s_ KS K285 K3 $7 K459 15 gil 3! 5 ! 7 ! 9 ! 11! + .... (1) For particular values of K, we have "( - 1 ) " san + 1 if K = 1 n=0 (2n+1)! " ( - K) " S2 n+ 1 if k 0 1=0 (2n+ 1)! gsin S = S+ o if K = 0 (2) (-K) $2 n+1 if K 0 VK gsin S = if K = 0 sinh S V-K (3) if K