Answer:
No Amplitude
Period = [tex]\frac{5 \pi}{2}[/tex]
Step-by-step explanation:
We can say a general function for Tan function as:
[tex]y=ATan(Bx)[/tex]
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 [tex]\pi[/tex] (180 degrees).
Since this function has a b value, the period would be:
[tex]Period=\frac{\pi}{b}[/tex]
So,
b = 0.4, so we have:
[tex]Period=\frac{\pi}{b}\\Period=\frac{\pi}{0.4}\\Period=\frac{\pi}{\frac{2}{5}}\\Period = \frac{5 \pi}{2}[/tex]
THis is the period , in terms of pi.
