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

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Homework Help Overview

The discussion revolves around the expression x(t) = ej(2t+pi/4) and the inquiry into the magnitude of this complex function, specifically questioning how |x(t)| equals 1.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the application of Euler's formula and its implications for the magnitude of complex numbers. There is a question regarding the understanding of absolute value in the context of complex functions.

Discussion Status

Some participants have provided clarifications regarding the use of Euler's formula and the properties of complex magnitudes. The conversation appears to be moving towards a clearer understanding, with one participant expressing gratitude for the insights received.

Contextual Notes

There is an indication of a request for further elaboration on the topic, suggesting that some participants are seeking deeper understanding of the concepts involved.

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Homework Statement


if
x(t)= ej(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

 
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Just Euler's formula is good enough

CLaim: |ejs|=1 for all values s.
 
Thanx for the reply sir
can u elaborate it a bit more?
 
ejs = cos(s)+jsin(s).

Look at what the definition of absolute value is for a complex number
 
ok i got it ... thanks a lot :) GOD bless you :)
lock it please.
 

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