Problem in understanding Phase Relationships

AI Thread Summary
The discussion focuses on the phase relationships in sine wave equations, specifically v=Vmsin(wt+theta) and v=Vmsin(wt-theta), which produce two sine waves of equal amplitude Vm with a phase difference of 2θ. It also addresses the values of x for which sin(x)=0, occurring at x=0 and x=π, and for sin(x+1)=0, which shifts the graph horizontally. Adding 1 to x translates the graph of sin(x) to the left by one unit. Participants are encouraged to explore how these translations affect the overall graph. Understanding these concepts is crucial for analyzing wave behavior in physics.
Shafia Zahin
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What will be the graph of v=Vmsin(wt+theta) and v= Vmsin(wt-theta) and why?:oldconfused:
 
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For what value(s) of x does sin(x)=0 ? For what value(s) of x does sin(x+1)=0 ? What does adding 1 to x do to the graph of sin(x) ?
 
Shafia Zahin said:
What will be the graph of v=Vmsin(wt+theta) and v= Vmsin(wt-theta) and why?:oldconfused:
The graphs will be two sine waves of equal magnitude Vm, with a phase difference of 2θ.
 
cnh1995 said:
The graphs will be two sine waves of equal magnitude Vm, with a phase difference of 2θ.

Don't forget the w.
 
Stuschreib said:
For what value(s) of x does sin(x)=0 ? For what value(s) of x does sin(x+1)=0 ? What does adding 1 to x do to the graph of sin(x) ?

sin(x)=0 when ##x=0## or ##x=\pi##
sin(x+1)=0 when x+1=##0## or ##x+1=\pi##

Tell us what you think adding 1 does to the graph.
 
anorlunda said:
Tell us what you think adding 1 does to the graph.

Function translation.
 
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