CPM Homework Help : CCA2 Problem 9-79

If tan $θ =\frac { 1 } { 2 }$ and $π ≤ θ ≤\frac { 3 \pi } { 2 }$ , what is the value of sin $θ$ ?

Hint:

Draw a diagram.

Possible diagram:

Coordinate plane, with right triangle, such that the horizontal leg, labeled negative 2, is on x axis, from origin to, x, = negative 2, vertical leg, labeled negative 1, from (negative 2, comma 0) to (negative 2, comma negative 1), and hypotenuse from (negative 2, comma negative 1) to the origin.