Point \( P \) on the unit circle is given. What is the sine of the angle formed by a terminal ray that intersects the unit circle at this point? \( (1 \) point) \( \frac{15}{17} \) \( -\frac{8}{17} \) \( \frac{8}{17} \)

To determine the sine of the angle formed by a terminal ray that intersects the unit circle at the point \( P \), we can use the coordinates of point \( P \). The unit circle is defined as the circle with a radius of 1, centered at the origin of the coordinate plane. The \( x \)-coordinate of point \( P \) corresponds to \( \cos(\theta) \) and the \( y \)-coordinate corresponds to \( \sin(\theta) \). If point \( P \) has coordinates \( (x, y) \) on the unit circle, then \(\sin(\theta) = y\). Without specific coordinates for point \( P \), we can validate the sine values you provided. The options are \( \frac{15}{17} \), \( -\frac{8}{17} \), and \( \frac{8}{17} \). Assume \( P(x, y) \) gives possible values determined by these sine ratios when plotted. If we verify each option based on the unit circle properties, we consider \( y = \sin(\theta) \). Ultimately, the exact value can be derived from the respective \( y \)-coordinates identified on the graph of the unit circle for any angle formed, confirming projecting \( P \) into respective angles, potentially leading us to conclude that \( \sin(\theta) \) aligns with one of your given options dependent to \( P \)'s specific coordinates. Thus, the sine of the angle formed by the terminal ray at point \( P \) can be expressed as one of the following values in conjunction with \( (x, y) \).