The laboratory (lab) frame angular distribution derived in two-body scattering theory exhibits a singularity at the maximum lab scattering angle. The singularity appears in the kinematic factor that transforms the centre of momentum (cm) angular distribution to the lab angular distribution. We show that it is caused in the transformation by the funnelling of a range of cm scattering angles into a much smaller range of lab angles. Correct treatment of this singularity is important when transforming angular distributions from the cm or projectile frame to the lab frame. (Contains 11 figures.)