Answer:
1. sin(x) = 6/10 = 0.6
2. sin(x) = 9/(3sqrt10) = (9sqrt10) / (3sqrt10)^2 = 9sqrt10 / 30 = 0.95
3. tan(x) = 3/4 = 0.75
4. cos(x) = 8/10 = 0.8
5. cos(x) = 0.53 (You know x = 45 because this is a 45/45/90 special right triangle)
6. tan(x) = (3sqrt7) / 9 = 0.88
Explanation:
Remember the acronym "SOH CAH TOA"
SOH: sine = opposite / hypotenuse
CAH: cosine = adjacent / hypotenuse
TOA: tangent = opposite / adjacent