Answer
$ -1.356342$
Work Step by Step
$\sec 222^{\circ}30'= \sec 222.5^{\circ}=\frac{1}{\cos 222.5^{\circ}}$
Using a calculator in degree mode, we can find
$\frac{1}{\cos 222.5^{\circ}}\approx -1.356342$
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