​​Use $▵RAT$ at right complete the following problems. 

1. Determine the exact length of $\overline{RA}$ in terms of $n$. What type of triangle is this?

   Hint (a):

   Use the Pythagorean Theorem.

2. Using the triangle, write the ratios for:

   1. $\sin(R)$ 

   2. $\cos(R)$ 

   3. $\tan(R)$ 

   Step (b):

   $\sin\left(R\right)=\frac{n}{2n}$ 

3. Use your results from part (b) to simplify $\frac { \operatorname { sin } ( R ) } { \operatorname { cos } ( R ) }$. What do you notice?

   Answer (c):

   It is the same as $\tan(R)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}$.