(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Is there a way to simplify the following expression?

##[cos(\frac {n \pi} 2) - j sin(\frac {n \pi} 2)] + [cos(\frac {3n \pi} 2) - j sin(\frac {3n \pi} 2)]##

2. Relevant equations

##e^{jx} = cos(x) + j sin(x)##

3. The attempt at a solution

##cos(\frac {n \pi} 2)## and ##cos(\frac {3n \pi} 2)## produce the same result for all values of ##n##

Likewise, ##- j sin(\frac {n \pi} 2)## and ##- j sin(\frac {3n \pi} 2)## produce the same result for all values of ##n##

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# Homework Help: Simplification of a complex exponential

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