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What are the amplitude, period, and phase shift of the given function? f(t)=-2/3 cos (3t-3pi)

What are the amplitude, period, and phase shift of the given function? f(t)=-2/3 cos-example-1
User Ckeeney
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1 Answer

2 votes

Answer:

amplitude;
(2)/(3)

Phase shift;
\pi units right

Period;
(2\pi)/(3)

Explanation:

The given function is


y=-(2)/(3)\cos(3t-3\pi)

This function is of the form;


y=A\sin (Bt+C)

The period is given by:


|A|=|-(2)/(3)|= (2)/(3)

The period is given by:


T=(2\pi)/(|B|)= (2\pi)/(|3|)=(2\pi)/(3)

The phase shift is given by;


(C)/(B)=(-\3pi)/(3)=- \pi or
\pi units right.

User Romanoti
by
6.4k points