Question

A circle is drawn with a marked and labeled point plotted on the circumference. (-24/25,7/25)
What is the sine of the angle formed by a terminal ray that intersects the unit circle at the point given in the image?

Answer 1

The coordinates of the given point on the circle are \((-24/25, 7/25)\). To find the sine of the angle formed by a terminal ray that intersects the unit circle at this point, we can use the fact that in a unit circle, the sine of an angle is represented by the y-coordinate of the point on the circumference.

For the point \((-24/25, 7/25)\), the y-coordinate is \(\frac{7}{25}\).

Therefore, the sine of the angle is:

\[
\sin(\theta) = \frac{7}{25}
\]

This is the sine of the angle formed by the terminal ray that intersects the unit circle at the given point.