Answer
$\color{blue}{\sin{2} \approx 0.9}$
Work Step by Step
To approximate the value of $\sin{2}$, look for the y-value of the point where the terminal side o the angle 2 radian crosses the unit circle.
Notice that for the given angle, the y-value of the point described above is around $0.9$.
Thus,
$\color{blue}{\sin{2} \approx 0.9}$