The value of $\sin 48.2^\circ$, rounded to the nearest ten-thousandth, is 0.7455.

Would you like more details or have any other questions? Here are 5 related questions you might find interesting:

1. What is the value of $\cos 48.2^\circ$?
2. How would you find $\tan 48.2^\circ$?
3. What is the sine of complementary angles like $\sin 41.8^\circ$?
4. How does the sine function behave for angles greater than 90°?
5. Can you calculate $\sin 48.2^\circ$ using a Taylor series?

Tip: To switch between degrees and radians on a calculator, make sure to use the correct mode (deg/rad) depending on your problem!