Hello everyone, I have a question

solve for all degrees and theta if 0 degrees <= theta < 360 degrees

1. 2sinTHETA=1

I how its 1/2 and I know they used the unit circle for the answer the answer is 30 + 360k, 150 + 360k(the first part). I want to know were the 360 came from. Why do I need it in my answer? and how can I use this to find out cot, tan, sec, csc, cos?