trigonometry - How were these values of sin x found?

I'm working on Trigonometry problems that have to do with inverse functions.

So I have an example problem that goes like this:

$$\ 10\sin^2x = \sin x$$

and apparently the solution set is:

$\sin x = 0$ if $x = 0.0 , 3.1$

and $\sin x = 1/10$ if $x = 0.1, 3.0$

I know how to do these problems in terms of radians, but I don't know what these integers are referring to on the unit circle, because when I assume that 1 = 360 degrees, the equations still don't make sense.

Can someone please help me with how these values were computed? I can't find any examples in my textbook.

Thank you!