B2. (a) Determine the fundamental period of f, where f (x) = 5sin(7(x - 1)) + 2. (b) Determine the range of f. (c) Determine the fundamental period of the function g that is given by g(x) = tan(2 ). (d) A particle moves counterclockwise at constant speed around a circle of radius 1 and makes one revo- lution every 27 units of time. The position of the particle at time t is c(t). Find a formula for c(t). (e) A particle moves counterclockwise at constant speed around a circle of radius 3 and makes one revo- lution every 2" units of time. The position of the particle at time t is c(t). Find a formula for c(t)