# How $y(x,t) = A.Cos(k.x - \omega .t + \Phi )$ is one dimensional wave?

$$y(x,t) = A . Cos(k.x - \omega .t + \Phi )$$

How the above equation is one-dimensional wave. Where at every value of $$' x '$$ we get value of $$' y '$$ where $$' t '$$ is time. It should be two dimensional.

• Dear @PM2Ring it is 1-D as a mathematical model? or how many dimensional .wave it is , because this wave equation shows the pattern of transverse wave and many examples are related to this. Why it is called one-Dimensional wave. – 123 May 28 at 4:54
• $y$ is in general not a spatial coordinate like $x$. It is “whatever quantity is waving”. Only sometimes is the thing that is waving the displacement in a transverse direction, as for a vibrating string. When it is temperature or pressure or whatever it is not a coordinate. – G. Smith May 28 at 5:09