The vertical position, in feet, of a point, , on a windmill is represented by  , where  is the number of seconds after the windmill started turning at a constant speed. Select all the true statements.

A seat on a Ferris wheel travels feet in one full revolution. How many feet is the carriage from the center of the Ferris wheel?

A carousel has a radius of 20 feet. The carousel makes 8 complete revolutions.

1. How many feet does a person on the carousel travel during these 8 revolutions?
2. What angle does the carousel travel through?
3. What is the relationship between the angle of rotation and the distance traveled on this carousel? Explain your reasoning. 

1. For which angle measures between 0 and is cosine negative and sine positive?
2. For which angle measures between 0 and is cosine negative and sine negative?

A -radian rotation takes a point, , on the unit circle to a point, . Which other radian rotation also takes point to point ?