To find whether x(t) and y(t) signals are same?

1. Jul 16, 2012

amaresh92

1. The problem statement, all variables and given/known data
let x(t)=cos(ω1(t+τ1) +δ1) and sin (ω2(t+τ2) +δ2)
determine whether both the signal are same for given data
ω1=∏/3 , ω2=∏/3
τ1=0 , τ1=1
δ1=2∏ , δ1=-∏/3

2. Relevant equations

3. The attempt at a solution
solution is as given-:
as ω1=ω2,
so
ω1τ1+ δ1=ω2τ2+ δ2+2∏k where k is integer
so x(t)=y(t)

i did not understand how they can conclude like that?

2. Jul 16, 2012

tiny-tim

hi amaresh92!

i assume you mean …
(try using the X2 button just above the Reply box )

if they were both cos, that would be correct, but since one is cos and the other is sin, it would have to be

ω1τ1+ δ12τ2+ δ2+2∏k - ∏/2

3. Jul 16, 2012

rude man

Oops.
I agree. Now.

Last edited: Jul 16, 2012