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: keiΦeiωt for some k and Φ
Remark: the complex expression keiΦ 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 keiΦ as a notation for the function g(t)=keiΦeiωt
Euler's formula eiωt= 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.