Answer
1.9362132
Work Step by Step
Step 1: Using the reciprocal identity $\sec\theta=\frac{1}{\cos\theta}$,
$\sec 58.9041=\frac{1}{\cos 58.9041}$
Step 2: We first make sure that the calculator is in degree mode.
Step 3: We then type $\frac{1}{\cos 58.9041}$ into the calculator.
Step 4: Solving, $\frac{1}{\cos 58.9041}\approx1.9362132$.