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Problem 56 Medium Difficulty

In Example 2 we showed that the period of $y=\cos 3 x$ is $2 \pi / 3 .$ Use the same method to show that the period of $y=A \cos B x,$ with $B>0,$ is $2 \pi / B$

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Top Algebra Educators
GH
Grace H.

Numerade Educator

Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University

Video Transcript

So we have equation. Why is equal to a co sign? BX? So we know that the graph starts or one period will start. We're X is equal to zero and then one p aed stops where X is equal to to buy or, in other words, tax the point where P X or three X is equal to to buy. So this would that mean that X is equal to two pi over be so, therefore for dysfunction. What we can say is that period is equal to two high over B.

Other Schools
Top Algebra Educators
GH
Grace H.

Numerade Educator

Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University