We have studied the angular dependence of the zero-field-cooled (MZFC), field-cooled (MFC) and remanent magnetization (Mrem) of YBa2Cu3O7 and Bi2Sr2CaCu2O8 single crystals, by rotating the crystal relative to the applied field direction. Two compatible mechanisms, namely shape anisotropy and intrinsic anisotropy are used to describe the angular dependence of these quantities. At sufficiently low temperatures, the pinning forces are strong and the relation MFC=MZFC+Mrem holds for all orientations. The angular dependence of MZFC is due only to variation of the demagnetization factor by rotation; whereas the angular dependence of the remanent magnetization can be interpreted by using the two mechanisms. For larger fields or higher temperature the pinning forces are weaker and |MFC|<|MZFC+Mrem|.