An AM radio transmitter generates a radio wave given by a function in the form f (t) = A sin 2000 nt. The variable n represents the location on the broadcast dial, 550 ≤ n ≤ 1600, and t is the time in seconds.
a. For radio station WINS, located at 1010 on the AM radio dial, what is the period of the function that models its radio waves?
b. What is the frequency of your function from 10a?
c. Find a function that models the radio waves of an AM radio station near you. Find the period and frequency.