# Euler's equation and orthogonality

Euler's equation e^j?=cos?(?)+j sin?(?), is very useful not only in obtaining the rectangular and polar forms of complex numbers, but in many respects as we will explore in this problem.

Carefully plot x[n]=e^(j(pi)n) for-infinity.

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#### Solution Preview

** Please see the attached file for the plotted illustration **

since,

x[n]=e^(j(pi)n)

by ...

#### Solution Summary

This solution describes the Euler's equation and orthogonality.

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