1. **State the problem:** We need to find $\sin(\theta)$ where $\theta$ is the angle formed by the radius line from the origin to the point $(0.82, -0.57)$ on the unit circle. 2. **Recall the formula:** On the unit circle, the coordinates of a point are $(\cos(\theta), \sin(\theta))$. 3. **Identify the sine value:** Since the point is $(0.82, -0.57)$, the sine of $\theta$ is the y-coordinate. 4. **Answer:** Therefore, $\sin(\theta) = -0.57$. This means the angle $\theta$ corresponds to a point in the fourth quadrant where sine is negative.