Answer
$-20^{\circ}$
Work Step by Step
First, ensure that your calculator is in radians.
On your graphing calculator, press the following sequence of buttons:
1. TAN$^{-1}$
2. (
3. -.364
4. )
5. ENTER
Therefore, $arctan(-.364)=tan^{-1}(-.364)=-.349$ radians. Then, convert this number to degrees by multiplying by $\frac{180}{\pi}$.
$-.349radians=(-.349(\frac{180}{\pi}))^{\circ}=-20^{\circ}$.