A dimensionally correct equation doesn't involve the number and if the method of the dimensions is applied to check the correctness of the equation it doesn't involves the pure number and dimensionless constant trigonometrically ratios and the logarithms function are all dimensionless.

we can say that all the equation which are correct must be dimensionally correct but all those which are incorrect may or may not be dimensionally correct

Also all those equations which are dimensionally correct may or may not accuracy correct