Use $ΔPIN$ to complete the parts below. 

1. Calculate the exact length of $\overline{IN}$.

   Hint (a):

   Use the Pythagorean Theorem.

2. Write and simplify a ratio for $\cos(P)$.

   Hint (b):

   $\cos(P) = \frac{\text{adjacent}}{\text{hypotenuse}}$

3. Write and simplify a ratio for $\sin(P)$.

   Hint (c):

   $\sin(P) = \frac{\text{opposite}}{\text{hypotenuse}}$