given sinh x = 16/63, find cosh x, tanh x, coth x, sech x, and csch x.
cosh2 - sinh2 = 1
cosh x = sqrt(1 + (16/63)2) = sqrt(4225/3969) = 65/63
tanh = sinh/cosh
tanh x = 16/65
coth = 1/tanh, sech = 1/cosh, csch = 1/sinh
etc.