The displacement of an oscillating particle is given by y=Asin(Bx+Ct+D). The dimensional formula for (ABCD) is

Displacement,∣y=Asin(Bx+Ct+D)A=y=[L]As each term inside the brackets is dimensionless, soB=1x=L-1C=1t=T-1and D is dimensionless.∴  [ABCD]=[L]L-1T-1=M0 L0 T-1