Answer
$\color{blue}{\sin{3.2} \approx -1}$
Work Step by Step
To approximate the value of $\cos{3.2}$, look for the x-value of the point where the terminal side o the angle 3.2 radians crosses the unit circle.
Notice that for the given angle, the x-value of the point described above is around $-1$.
Thus,
$\color{blue}{\sin{3.2} \approx -1}$