Question

The function, f(t)= 1.2 cos 0.5t, does not have an amplitude and has a period of 4π.

Answer 1

False

Explanation:

The given function is

`f(t)=1.2\cos 0.5t`

This function is of the form:

`f(t)=A\cos(Bt)`

where A=1.2 and B=0.5

The amplitude of this function is given by;

|A|=|1.2|=1.2

The period of this function is given by;

`T=(2\pi)/(|B|)`

`T=(2\pi)/(|0.5|)`

`T=(2\pi)/(0.5)=4\pi`

The correct answer is False

Answer 2

False

Explanation:

Given in the question a function,

f(t)=1.2cos0.5t

Standard form of cosine function is

f(t)=acos(bt)

Amplitude is given by = |a|

Period of function is given by = 2π/b

So the amplitude is |1.2| = 1.2

the period is 2π/0.5 = 4π