Explanation:
From Pythagorean theorem
x^2 = (10)^2 - (8)^2 = 36 or x =6
sin theta = opp/hyp = 6/10 = 3/5
cos theta = adj/hyp = 8/10 = 4/5
tan theta = opp/adj = 6/8 = 3/4
cot theta = 1/tan theta = 4/3
sec theta = 1/cos theta = 5/4
csc theta = 1/sin theta = 5/3