Solve for all possible values of x where O°≤x360°.

Question

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.

Answer 1

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.