Displacement y=Asin(Bx+Ct+D),x in metres and t in seconds.find dimension of ABCD

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Solution

remember an other thing that the functions INSIDE trignomertic functions,log functions,exp functions
are also dimensionless

therefore Bx is dimensionless so the dimension of B = [L^-1]

Ct also dimensionless therefore dimension of C =[T^-1]

D is itself is a dimensionless quantity

the dimension of A is same as that of displacement ,that is [L]

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