Let’s make it easier if you like
cos(θ1).exp(iθ2)
where θ1 and θ2 are constants in rad.
As you recommended I found in the following expression
[Exp(i(θ1+ θ2)) + Exp(i(θ2- θ1))] /2
İf I try to turn back to the cosine form I can not provide something like
cos(θ1+ θ2) or...