Period of Harmonic Wave/Proof 1

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Theorem

Let $\phi$ be a harmonic wave expressed as:

$\forall x, t \in \R: \map \phi {x, t} = a \map \cos {\omega \paren {x - c t} }$


The period $\tau$ of $\phi$ can be expressed as:

$\tau = \dfrac \lambda c$

where $\lambda$ is the wavelength of $\phi$.


Proof

By definition, a harmonic wave is an instance of a periodic wave.

Hence Period of Periodic Wave can be used directly.

$\blacksquare$