Trigonometry Question

Question

An audiometer, a machine that tests a person's hearing, produces a pure tone with a frequency of 3000 hertz (cycles per second). The maximum pressure produced from the pure tone is 3 millipascals. 

True/False: The pressure (P, in millipascals) produced by the pure tone as a function of time (t, in seconds) is accurately represented by the function: P(t)=3sin(6000t)

Answer 1

one cycle = period

3000 cycles per second means the period = 1/3000

for AsinBt,

2pi/B = period = 1/3000

B = 3000(2pi) = 6000pi

P(t) = AsinBt = 3sin6000pi(t)

True, if you insert pi

False without the pi