The function f(t)= 5 tan 2 t, does not have an amplitude and has a period of π.

Question

asked Jul 19, 2020 114k views

2 Answers

Smo · Answer 1 · 2020-07-23T12:21:57+0000

ANSWER

False

EXPLANATION

The tangent function has no amplitude because it is not bounded.

The given tangent function is

$f(t) = 5 \tan(2t)$

This is of the form

f(t)=a tan(bt)

The period is given by

$T = (\pi)/( |b| )$

$T = (\pi)/( |2| ) = (\pi)/(2)$

The first statement is true but the second is false.

Hence the whole statement is false.