Answer
$\tan$(-80.1$^{\circ}$) $\approx$ -5.72974164
Work Step by Step
$\tan$(-80$^{\circ}$ 06')
First, convert from minutes to degrees
-80$^{\circ}$ 06' = -80$^{\circ}$ + $\frac{6}{60}$
-80$^{\circ}$ $\frac{6}{60}$ = -80$^{\circ}$ + 0.1$^{\circ}$
-80$^{\circ}$ $\frac{06}{60}$ = -80.1$^{\circ}$
$\tan$(-80.1$^{\circ}$) $\approx$ -5.72974164