Determine the amplitude, period, quater period, and phase shift. Then, graph one period of the function.   y=2cos(4x+pi/2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 14E
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Determine the amplitude, period, quater period, and phase shift. Then, graph one period of the function.

 

y=2cos(4x+pi/2)

Expert Solution
Step 1
 
Use the form  to find the variables used to find the amplitude, period, phase shift, and vertical shift.
 
Find the amplitude .
Amplitude: 
 
Find the period using the formula .
 
Period: 
 
Find the phase shift using the formula .
 
Phase Shift: 
 
Find the vertical shift .
Vertical Shift: 
.
Amplitude: 
Period: 
Phase Shift: 
Vertical Shift: 

 

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