Question 914727


{{{sin (theta) = 1/2}}}
 
 There are usually two answers for questions like these, so you look at special triangles where sin theta is positive, in this case, the first and second quadrants. 
A special triangle with {{{sin (theta) = 1/2}}} is a 30 - 60 - 90 triangle, with the reference angle being {{{30}}}. 
Thus, your answers are {{{30}}}, and {{{180 - 30}}}, so {{{30}}} and {{{150}}} degrees are your answers.

in radians: 
{{{theta = pi/6 + 2pi*k}}} or {{{5pi/6 + 2pi*k }}} where {{{k}}} is an integer