CPM Homework Help : INT3 Problem 10-78

If $\tan(θ)=\frac{1}{2}$ and $\pi\leθ\le\frac{3\pi}{2}$ , what is the value of $\text{sin}\left(θ\right)$ ?

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.