Understanding the Magnitude of x(t) When x(t)=ej(2t+pi/4)

[advance_lab]

Homework Statement

if
x(t)= e^j(2t+pi/4)
then how can |x(t)|=1 ? :(

Homework Equations

Euler formula ? and then half angle or full angle or double angle formula?

The Attempt at a Solution

 

[Office_Shredder]

Just Euler's formula is good enough

CLaim: |e^js|=1 for all values s.

 

[advance_lab]

Thanx for the reply sir
can u elaborate it a bit more?

 

[Office_Shredder]

e^js = cos(s)+jsin(s).

Look at what the definition of absolute value is for a complex number

 

[advance_lab]

ok i got it ... thanks a lot :) GOD bless you :)
lock it please.