Consider a transverse sinusiodal wave on a sting. Let the wave be travelling in positive x-direction. Let its amplitude be A, wave no. be k and angular frequency be ω then the vertical displacement of any particle at a distance x from the origin and at any time t is given as: y(x,t) = A sin(ωt-kx) .....(1) does this have the same meaning as (i.e. direction of motion) as y(x,t) = A sin(kx-ωt) ......(2)? In most of the books i referred to, eq. (1) is given as the standard equation. However, by using it, i am not able to derive the equations for standing waves on a string fixed at both the ends.