I encountered a few problems for a few questions while doing my homework. 1. Angular measure problem: A Ferris wheel with a radius of 25.3m makes 2 rotations every minute. a) Find the average angular speed of the Ferris wheel in radians per second. b) How far does a rider travel if the ride lasts 5 min? For a), I did this: (2π radians/hr) x (2 rotations/min) x (1min/60s) = (π/15) = 0.21 rad/s That answer was correct one; however, I'm not sure how it works, because I did the question by looking at an example. for b), 5 x (π/15) x (1 rotation/2π radians) x (2π(25.3)/1 rotation) = 126.5π/15 = 26.4 m This answer is not correct. How do I find the answer? ---------------- The second set of problems deal with tangent curves and their periods. They ask to determine the period and phase shift with respect to y = tan x for each function. The phase shifts I can get right. I know that you can find the period by using (pi/abs(b)), but I the answer in the textbook doesn't match mine, and I don't know why. a) y = tan (x-(π/4)) ; my answer: π ; book's answer: π/2 b) y = tan (2x-π) ; my answer: (π/2) ; book's answer: π c) y = tan ((x/2)+(π/2)) ; my answer: (π/3) ; book's answer: π/2 I thought that if something's in a format like tan (2x+1), where there's a number in front of x, then you have to change it to tan 2(x+0.5). Can anyone explain why my answers are wrong?