I finally got it thanks to jkeesh's advice. Here is what I did:
public class UnitCircle extends ConsoleProgram
private static final double PI = 3.14159265359;
public void run()
System.out.println("Radians: (cos, sin)");
double degrees = 0;
for(int i = 0; i < 8; i++)
double finalDegrees = Math.round(degrees * 100) / 100.0;
double finalSin = Math.round(Math.sin(degrees) * 100) / 100.0;
double finalCos = Math.round(Math.cos(degrees) * 100) / 100.0;
System.out.println(finalDegrees + ": " + finalCos + ": " + finalSin);
degrees += PI/4;
My feedback for CodeHS is that I had to do a lot more to get that one right than what the Exercise was asking. Having to round the double's wasn't really part of the Exercise description. I would simplify this problem, or give a lot more help in the Exercise description. I don't think a student new to programming would have figured that all out on their own.
As always, I love CodeHS, so please don't think that my activity here on the forum is negative. I am just giving feedback based on my struggles so you can improve your product. Thanks!