Real Variables In Complex Equation

[Dr_Seuss]

Hi

Homework Statement

The problem asks to put the following expressions in z={ReA(e^i*)(e^i*)} Form

for

z=3cos(wt)-sin(wt)

z=sin(wt+pi/4)+cos(wt)

z=sin(wt)+2cos(wt-pi/3)-cos(wt)

Homework Equations

The Attempt at a Solution

The problem is I don't even know which parts are real and imaginary because there is no i value in any of them. I used eulers equation and expand them but arrived at a equation with only one i, two cos, and a sin. Is this the right approach or am I missing the point.

Thanks

 

[Spinnor]

Does this make any sense?

 

[Dr_Seuss]

Ya That does help a lot does this mean for

z=sin(wt)+2cos(wt+pi/4)-cos(wt)

The Real Part would be

Re{e^i(wt-pi/2) + 2e^i(wt-pi/3) - e^i(wt)}

in complex phasor amplitude

Thanks