Wave frequency f, and period of wave T are inverses, related by fT=1.
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Wavelength*Frequency = Velocity of the wave. or Wavelength/Period = Velocity of the wave.
Period = 1 / frequency
The product of (wavelength x frequency) is the wave's speed.
The speed of any wave is the product of (wavelength) x (frequency) .
frequency = (wave speed)/(wavelength) frequency = 1/(period)