Answer
$-1.1817633$
Work Step by Step
Step 1: First, we have to convert degrees and minutes to decimal degrees:
$-212^{\circ}12'=-212\frac{12}{60}^{\circ}=-212.2^{\circ}$
Step 2: Since $\sec\theta=\frac{1}{\cos\theta}$,
$\sec(-212.2)=\frac{1}{\cos(-212.2)}$
Step 3: Typing $ \frac{1}{\cos(-212.2)}$ and solving, we find that:
$\frac{1}{\cos(-212.2)}\approx-1.1817633$
