Question

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

Answer 1

Period = `6pi` and amplitude = 22.

Explanation:

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.. .