How Does Phasor Addition Simplify Trigonometric Expressions?

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Homework Help Overview

The discussion revolves around simplifying the expression x(t)=5cos(wt)+5cos(wt+120)+5cos(wt-120) into standard sinusoidal form using phasor addition. The subject area includes trigonometric expressions and phasor analysis.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to use phasor addition to simplify the expression but encounters a result of zero, leading to uncertainty about the next steps. Some participants question the correctness of the expression and suggest corrections.

Discussion Status

The discussion is ongoing, with participants exploring the implications of the zero result and questioning the initial expression. There is no explicit consensus on how to proceed, but there is engagement with the problem's setup.

Contextual Notes

There are indications of possible errors in the expression, as noted by participants who request corrections. The original poster's approach to using phasors is acknowledged, but the outcome raises questions about the validity of the initial setup.

smallwa
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Homework Statement


Define x(t)=5cos(wt)+5cos(wt+120)+5cos(wt-120)

simplify x(t) into the standard sinusoidal form:x(t)= A cos(wt+phase).Use phasors to do the algebra.

Homework Equations


The Attempt at a Solution


i know it needs to use phasor addition rule.
First,i represent x1(t),x2(t),x3(t) by the phasors,and then add them together
however the result is 0,then i don't know to dothanks a lot:))
 
Last edited:
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smallwa said:

Homework Statement


Define x(t)=5cos(wt)+5cos(wt=120)+5cos(wt-120)

Correct x(t), please!


ehild
 
ehild said:
Correct x(t), please!


ehild

sorry,corrected
 
The result is really zero. So write x(t)=0.

ehild
 

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