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?
-8/17
-15/17
8/17
15/17
The sine of an angle in a unit circle is equal to the y-coordinate of the point where the terminal ray of the angle intersects the unit circle. Since point P on the unit circle is given, we can determine the y-coordinate and use it to find the sine of the angle.
If point P has coordinates (x, y) on the unit circle, then the y-coordinate is given by y = 8/17 or y = -8/17.
The sine of the angle is positive when y = 8/17 and negative when y = -8/17.
Therefore, the possible sine values for the angle are 8/17 and -8/17.
None of the options provided match these values exactly.