1. The problem statement, all variables and given/known data For my waves class, I have to do this problem. I've previously completed a question like this except there was no phase constant (∏/4) in that question. Express the following in the form x = Re [Ae^i[itex]\alpha[/itex]e^iwt x=cos(wt + ∏/4) - sin(wt) 2. Relevant equations euler's formula e^iwt = cos(wt) + isin(wt) complex amplitude = √A2+B2 complex angle = tan [itex]\alpha[/itex] = y/x 3. The attempt at a solution I know that cos(wt + ∏/4) = Re [e^i(wt + ∏/4)] and -sin(wt) = Re [ie^iwt] combining these two, i have Re [e^i(wt + ∏/4) + ie^iwt] which, after factoring, becomes Re [e^iwt (e^i∏/4 + i)] My problem is, what do i do with the e^i∏/4 to get the complex amplitude and complex angle? In my previous problem without the ∏/4 shift, i was able to plot in Cartesian coordinates Im vs Re and successfully convert to polar coordinates. Help?