Answer
$\tan 195^{\circ} 10'$ = 0.2711
Work Step by Step
Given function-
$\tan 195^{\circ} 10'$
We have to convert it to decimal degrees first-
$\tan 195^{\circ} 10'$ = $\tan (195^{\circ} + 10')$
= $\tan (195^{\circ} + (\frac{10}{60})^{\circ})$
= $\tan (195^{\circ} + (0.1667)^{\circ})$
= $\tan 195.1667^{\circ} $
Using calculator in degree mode-
195.1667 → $\tan$
$\tan 195.1667^{\circ}$ = 0.2710699881
Rounding it to four places past the decimal point-
$\tan 195.1667^{\circ}$ = 0.2711
or
$\tan 195^{\circ} 10'$ = 0.2711
