Explanation:
By definition, the terminal side is the side of an angle after rotation, that is the final position of the ray whose rotation created an angle.
Now, given a point P(x, y) on the terminal side of an angle θ in standard position, distance d from the origin, its sine is
[tex]\sin(\theta)=\frac{y}{d}[/tex]
Notice that in this case, the angle is measured in a unit circle, then d=1.
Thus, we can conclude that the correct answer is:
Answer:[tex]\sin(\theta)=\text{ -}\frac{\sqrt{2}}{5}[/tex]
