Final answer:
To find the angle with sin(θ) = -1/2, one must consider the unit circle where sin is negative in the third and fourth quadrants. The correct angle that matches the criteria is θ = 7/6π, which is in the third quadrant with a sine value of -1/2.
Step-by-step explanation:
The question is asking to find the angle θ for which sin(θ) = -1/2. To determine the correct angle, we need to consider the unit circle and the sin function values. The sin function is negative in the third and fourth quadrants. Since the reference angle for a sine of 1/2 is π/6, we need to find the angles in the third and fourth quadrants that have this reference angle. The angles in the unit circle that have a sine value of -1/2 are 7π/6 or 11π/6, which correspond to 210° and 330°, respectively. Therefore, the correct answer among the given options is θ = 7/6π, which corresponds to 210°.