Time period = 1 / frequency. Frequency = 1 / time period.
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Not sure about duty cycle of a waveform. The frrequency is the inverse of the period and the period is the inverse of the frequency. Frequency (it pains me to tell you) is measured in Hertz, cycles per second. Period is the time for one cycle or seconds per cycle. If we let f be frequency and T be period, then f=1/T and T= 1/f
the relation between frequency and time period is ''t=1/f''
Period = 1 / frequency
numbers of cycle per unit time.