Given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function.sine, 180, degreessin180 ∘

The sine of 180 degrees is 0.

Here's why:

1. The unit circle is a circle with a radius of 1 centered at the origin (0,0) in the coordinate plane.

2. When we talk about angles in the unit circle, we usually start at the positive x-axis (the right side of the x-axis) and rotate counterclockwise. An angle of 180 degrees would bring us to the negative x-axis (the left side of the x-axis).

3. The sine of an angle in the unit circle is the y-coordinate of the point where the terminal side of the angle intersects the circle.

4. For an angle of 180 degrees, this point is (-1,0).

5. Therefore, the sine of 180 degrees is 0.