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

Since we are given the unit circle, the green dot represents a point on the circle. We need to rotate the green dot to the appropriate angle to find the exact value of the function.

To find the exact value of a function, we need to identify the coordinates of the point on the circle corresponding to the angle.

However, since we don't have the image of the unit circle or the exact angle mentioned, we cannot determine the appropriate position to rotate the green dot or find the exact value of the function without more information.

Please provide more details or clarify the exact angle mentioned in order for us to determine the appropriate rotation and find the exact value of the function.