Use a calculator to find a decimal approximation for the following trigonometric function. $\sin 68^{\circ} 18^{\prime}$ $\sin 68^{\circ} 18^{\prime} \approx$ (Round to eight decimal places)

Step 1 ：First, convert the angle from degrees and minutes to decimal degrees. There are 60 minutes in a degree, so 18 minutes is \(\frac{18}{60} = 0.3\) degrees.

Step 2 ：Add this to the 68 degrees to get the total angle in decimal degrees: \(68 + 0.3 = 68.3\) degrees.

Step 3 ：Next, convert the angle from degrees to radians because the sine function uses radians. Use the conversion factor \(\frac{\pi}{180}\) to get \(68.3 \times \frac{\pi}{180} = 1.192059879112127\) radians.

Step 4 ：Calculate the sine of this angle to get \(\sin(1.192059879112127) = 0.9291325715340562\).

Step 5 ：Finally, round the result to eight decimal places to get \(0.9291325715340562 \approx 0.92913257\).

Step 6 ：Final Answer: \(\sin 68^\circ 18^\prime \approx \boxed{0.92913257}\)