Answer
$0.673011251$
Work Step by Step
Step 1: First, we have to convert degrees and minutes to decimal degrees:
$42^{\circ}18'=42\frac{18}{60}^{\circ}=42.3^{\circ}$
Step 2: Next, after ensuring that the calculator is in degree mode, we type $\sin42.3^{\circ}$ into the calculator.
Step 3: Solving, we find that:
$\sin42.3^{\circ}\approx0.67301251$