ANSWER
False
EXPLANATION
The tangent function has no amplitude because it is not bounded.
The given tangent function is
[tex]f(t) = 5 \tan(2t) [/tex]
This is of the form
f(t)=a tan(bt)
The period is given by
[tex]T = \frac{\pi}{ |b| } [/tex]
[tex]T = \frac{\pi}{ |2| } = \frac{\pi}{2} [/tex]
The first statement is true but the second is false.
Hence the whole statement is false.
