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## Homework Statement

What is the maximum displacement of a particle at x=0.5 cm

The equation for the resulting standing wave: y(x,t)= 4sin(1.26x)cos(50.27t) cm.

## Homework Equations

## The Attempt at a Solution

Like the answer tells me that 4sin(1.26*0.5)=ymax but i'm not sure why we would disregard the cos(50.27t) part...does it have to do with the antinode and node idea because in my book it says that antinodes occurs wherever sink=(plus minus)1...any clarification would be much appreciated