By definition we have to: Sin (x) = C.O / h Where, x = angle C.O = opposite leg h: hypotenuse. Substituting values we have: Sin (C) = AB / 82 We should look for AB. For this, we use the following relationship: AB ^ 2 + 80 ^ 2 = 82 ^ 2 Clearing AB: AB = root ((82 ^ 2) - (80 ^ 2)) AB = 18 Substituting we have: Sin (C) = 18/82 Simplifying: Sin (C) = 9/41
Answer: the trigonometric ratio for sin C is: Sin (C) = 9/41
