What is the period and amplitude for #f(t)=22sin((pi/3)t-5))+80#?

1 Answer
Apr 19, 2016

Period = #6pi# and amplitude = 22.


The least value of P for which f(t+P) = f(t) is called the period of f(t).

If f(t) = a sin ( b t + c ) + d, the period is #2pi/b, amplitude is #|a|.

Here, a = 22 and b = #1/3#.
So, period = #6pi#.

The presence of the constants c and does not change the period and amplitude of this sine wave that is oscillating in the f-directions, about the mean level f = d, with amplitude a.. .