Answer: the smaller value of θ is 30° and the larger value of θ is 150°.
Step-by-step explanation:
We know, for the notable angles and values of the trigonometric functions (you can find a lot of tables of it) that sin(30°) = 1/2 and also that sin(150°) = 1/2
Then if 0°<θ<180°, the smallest value of θ is 30°, and the biggest value is 150°
You also can use the inverse function
if sinθ= 1/2
then θ= asin(1/2)
