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## Homework Statement

Given a function g(t)=acosωt + bsinωt, where a and b are constants, show that g(t) is the real part of the complex function: ke

^{iΦ}e

^{iωt}for some k and Φ

Remark: the complex expression ke

^{iΦ}is called a phasor. If we know that g(t) has the form kcos(ωt+Φ) then we need know only the constants k and Φ-the amplitude and the phase- to know the function g. Hence we can use the phasor ke

^{iΦ}as a notation for the function g(t)=ke

^{iΦ}e

^{iωt}

## Homework Equations

Euler's formula e

^{iωt}= cosωt +isinωt

## The Attempt at a Solution

Not really sure where to start here except for expanding using euler;s as the first step. any help would be greatly appreciated.