Use the triangle to answer the problems below. 

1. Find the exact lengths of the missing sides.

   Hint (a):

   Find the 3rd angle.
   Then use the Law of Sines to find the other sides.

2. Write and simplify the cosine ratio for $∠A$.

   Hint (b):

   $\text{Cos}A=\frac{\text{adjacent side}}{\text{hypotenuse}}$

3. Write and simplify the sine ratio for $∠A$.

   Hint (c):

   $\text{Sin}A=\frac{\text{opposite side}}{\text{hypotenuse}}$