Answer:
sin(theta) = 7pi/6, 11pi/6
Explanation:
Start by replacing theta with x (they are the same thing in this case.
Next Solve...
1 + sin(x) = 1/2
sin(x) = -1/2 (subtract one from both sides)
Plug in y = sin(x) on a graphing calculator
Plug in y = -1/2
See where the points intersect between 0 and 2pi
They should intersect at 7pi/6 and 11pi/6