Two functions superimposed on each other.

Suppose I have two functions, say y = sin(t) and y = sin( t + pi/4) and I want to make them start at the same point. How can this be done?

[Matt J]

How do you define their "starting point" right now? For example, why couldn't you consider t=0 to be the starting point of both functions already? Sure, they start at different values, but what difference does that make?

[T]

Suppose that y1 = sin(t) starts at t = 2000 s and ends at t = 5000 s and y2 = sin(t + pi/4) starts at t = 4000 s and ends at, say 7000 s.

Answer 1

[Azzi Abdelmalek]

   t=0:0.1:10
   plot(t, sin(t))
   hold on ,
   plot(t+pi/4,sin( t + pi/4) )

Answer 2

[Matt J]

Change y2 to y2 = sin(t +2000 + pi/4)

now they will both start at t=2000