Question 662907: How do you graph y=cos(x-pi/2). I need to know how you divide the interval into 4 equal parts. Please be specific.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! How do you graph y=cos(x-pi/2). I need to know how you divide the interval into 4 equal parts. Please be specific.
**
Equation for cos function: y=Acos(Bx-C), A=amplitude, Period=2π/B, Phase shift=C/B
For given equation:y=cos(x-π/2)
A=1
B=1
Period=2π/B=2π/1=2π
1/4 Period=π/2
C=π/2
Phase shift=C/B=π/2 (to the right)
Graphing: Divide period into four π/2 intervals
With no phase shift, coordinates for one period will be as follows:
(0,1), (π/2,0), (π,-1), (3π/2,0), (2π,1)
This is the basic cos curve with a period of 2π
With a phase shift of π/2 to the right, coordinates for one period will be as follows:
(0,0), (π/2,1), (π,0), (3π/2,-1), (2π/,0), (5π/2,1)
This is basically shifting the x-coordinates π/2 to the right
|
|
|
