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Find the amplitude, period, and hori- zontal shift of the function, and graph one complete period 1 cos 2x - 1 y = 2

Find the amplitude, period, and hori- zontal shift of the function, and graph one complete period 1 cos 2x - 1 y = 2

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Find the amplitude, period, and hori- zontal shift of the function, and graph one complete period 1 cos 2x - 1 y = 2
Transcribed Image Text:Find the amplitude, period, and hori- zontal shift of the function, and graph one complete period 1 cos 2x - 1 y = 2
Expert Solution
Step 1

The function is given as,

 

y=12-12cos2x-π3      ...... (1)

 

The general expression is given as,

 

y=AcosBx-C+D      ...... (2)here,A=AmplitudeC=Horizontal shiftB=Angular velocity=2πT

 

The expression (1) is written as,

 

y=-12cos2x-π6+12On comparing with expression (2),A=-12B=2C=π6D=12

 

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