Which statement is false?
When two or more waves interfere, the resulting displacement is equal to the vector sum of the individual
displacements.
A traveling wave is described by $y(x,t) = A \cos(kx \pm \omega t + \phi)$, where
whatever multiplies x is $k = \frac{2\pi}{\lambda}$,
whatever multiplies t is $\omega = \frac{2\pi}{T} = 2\pi f$,
and $v = \lambda f = \frac{\omega}{k} = \text{speed}$.
A traveling wave is described by $y(x,t) = A \sin(kx \pm \omega t + \phi)$, where
whatever multiplies x is $k = \frac{2\pi}{\lambda}$,
whatever multiplies t is $\omega = \frac{2\pi}{T} = 2\pi f$,
and $v = \lambda f = \frac{\omega}{k} = \text{speed}$.
A traveling wave is described by $y(x,t) = A \sin(kx \pm \omega t + \phi)$.
If $kx$ and $\omega t$ have the same sign, the wave travels in the positive x-direction.
The relationship $v = \lambda f$ holds true for any periodic wave.