How to check if Fourier components are in phase of out of phase?
Depends on the phase reference point in time.  

Depending on the reference point, every DFT basis sinusoid can be either in-phase or out-of-phase (by 180 degrees) with every other basis, thus the same with any coefficient weighting of these basis vectors.

If you reference phase to the center of a DFT (using an fftshift), then the angle will tell you whether a particular component has even or odd symmetry relative to the center.