Two traveling waves, y$,($x$,$ t$)$ and yz $($x$,$t$),$ are generated on the same taut string. Individually, the two traveling waves can be described by the two equations

y$,($x$,1)=(2\mathrm{.}21$ cm$)$ sin$($k$,+(0\mathrm{.}243$ rad$/$s$)++41]$

$32($x$,1)=(4\mathrm{.}78$ cm$)$ sin$|$k$2$x $-(11\mathrm{.}4$ rad$/$s$)++42]$

where k$,$ and kz are the wave numbers and p$,$ and @z are the phase angles.