Question 917061
Examine the unit circle.  There are two angles on the unit circle for which sin is 1/2.  Those are pi/6 and 5pi/6 (30 and 150 degrees).  The period for sin is 2pi (360 degrees), so values repeat every 2pi (360 degrees).<P>
The answers are pi/6 +2kpi, 5pi/6 + 2kpi.  In degrees it's 30+369k, 150 +360k.