Determine the amplitude and period of the function y = 5cos 2πx. Then graph one period of the function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 36RE
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Determine the amplitude and period of the function y = 5cos 2πx. Then graph one period of the function.

Expert Solution
Step 1

Given:

          y=5cos2πx

Step 2

Now,

      If y=Acos(bx+c)Then,Amplitude=A.Period=2π|b|Here, we have,A=5,b=2πAmplitude=5Period=2π|2π|=1

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