Posted by Kate on .
Solve for all possible values of x where O°≤x360°.
sin x=2/3.
I do not understand these types of questions please answer in as much detail as you can so I can do them myself.

Math 
MathMate,
The following reference solves a similar question in a way that applies to the current question.
http://www.jiskha.com/display.cgi?id=1310912979
Note that for the current question, there are two quadrants that satisfy the sign requirement, namely first and second quadrants.
To find θ you will need to add or subtract the reference angle t from the horizontal line, namely 0° or 180°.
If you need further help, please post.