The displacement of an oscillating particle is given by y=A sin (Bx+Ct+D).What is the dimensional formula for (ABCD)?

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$G e n e r a l e q u a t i o n o f m a t i o n o f o s c i l l a t i o n g p a r t i c l e i s : y = y_{o} \sin (k x + ω t + ϕ) k i s t h e w a v e v e c t o r h a v i n g d i m e n s i o n o f l e n g t h i n v e r s e [L^{- 1}] . ω i s a n g u l a r f r e q u e n c y h a v i n g d i m e n s i o n o f t i m e i n v e r s e [T^{- 1}] . y_{o} i s t h e m a x i m u m a m p l i t u d e o f d i s p l a c e m e n t h a v i n g d i m e n s i o n o f l e n g t h [L] . ϕ i s t h e p h a s e a n g l e h a v i n g d i m e n s i o n o f R a d i a n . Y = A \sin (B x + C t + D) O n c o m p a r i n g t h i s e q u a t i o n f r o m g e n e r a l e q u a t i o n, w e g e t . A = [L] B = [L^{- 1}] C = [T^{- 1}] D = [R a d i a n]$

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