We consider classical emission of a relativistic electron moving in an arbi
trary direction with respect to the direction of propagation of a strong ci
rcularly polarized electromagnetic wave. The exact expression for the angul
ar distribution is derived by the summation of harmonics in the spectral-an
gular distribution. The evolution of the symmetry and the shape of this ang
ular distribution is investigated for different initial conditions for an e
lectron and the intensity of the electromagnetic wave.