Question 827047: For each question identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y=cos(x-pi/2)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y=cos(x-pi/2).
***
Equation for cos function:y=Acos(Bx-C), A=amplitude, Period=2π/B, Phase shift=C/B.
For given cos function:y=cos(x-pi/2)
amplitude=1
B=1
Period=2π/B=2π
1/4 Period=π/2
Phase shift=C/B=π/2(to the right)
coordinates for one cycle of graph:
start with basic cos curve: (0,1),(π/2,0),(π,-1),(3π/2,0),(2π,1),(5π/2,0)
final configuration:
Phase shift: π/2 to the right:(0,0),(π/2,1),(π,0),(3π/2,-1),(2π,0)
|
|
|
