(A)sin2ωt=21−21cos2ωtIt represents SHM motion having period = ωπ(B)sin32ωt=43sin2ωt−41sin6ωtCommon period ωπ but not SHM.(C) sinωt+cosπωt⟶ no common period hence it is a nonperiodic function(D) cosωt+cos2ωtcommon period ω2π but it do not represent SHM.A⟶III,B⟶I,C⟶IV,D⟶II