Question

 A point starts at the location (0, 5) and moves CCW along a circle centered at (0, 0). Let θ represent the number of radians the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context.

 a. Suppose the point has swept out 0.25 radians since it started moving ( θ = 0.25). How many radians would need so be swept out from the 3-o'clock position [or from (5, 0)] to get to the point's current position?

 b. Write an expression in terms of to represent how many radians would need to be swept out from the 3-o'cleck position to get to the point's current position. (Enter "theta" for e.)

 c. Write a function f that determine's the point's z-coordinate in terms θ. (Recall that θ represents a number of radians swept out from the 12-o'clock position, not the 3-o'clock position!)

 d. Sketch a graph of f.

Answer 1