cos = adj/hyp which means AB = 6 sin c = opp/hyp = 6/10
Tan = opp/adj = sin/cos we either need AC or cos c
we can find AC via pythagorean theorem
6^2 + AC^2 = 10^2
AC^2 = 64
AC = 8 so cos c = adj/hyp = 8/10
Tan c = sin c /cos c = 6/10 / 8/10 = 6/8