Question

What is amplitude and period of f(t)= -tan 0.4 t

Answer 1

No Amplitude

Period =
`(5 \pi)/(2)`

Explanation:

We can say a general function for Tan function as:

`y=ATan(Bx)`

This function given is:

f(t) = - Tan (0.4t)

First of all, there is no amplitude for a tan function because it goes on and on in both y-directions. THere is no max or min value, so there is no Amplitude.

As for period, the normal period (distance between 2 vertical asymptotes of a tan function) is
`\pi` (180 degrees).

Since this function has a b value, the period would be:

`Period=(\pi)/(b)`

So,

b = 0.4, so we have:

`Period=(\pi)/(b)\\Period=(\pi)/(0.4)\\Period=(\pi)/((2)/(5))\\Period = (5 \pi)/(2)`

THis is the period , in terms of pi.