Answer
$-1.181763$
Work Step by Step
Use a scientific calculator and set the unit as $DEG$ for degrees, we have $sec(-212^\circ12')=sec(212^\circ12')=sec(212+\frac{12}{60})^\circ=sec(212.2^\circ)=\frac{1}{cos(212.2^\circ)}=-\frac{1}{cos(32.2^\circ)}\approx-1.181763$
