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

Apr 19, 2016

Period = $6 \pi$ 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 $2 \frac{\pi}{b} , a m p l i t u \mathrm{de} i s$|a|.

Here, a = 22 and b = $\frac{1}{3}$.
So, period = $6 \pi$.

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.. .