# How do the frequency and period relate to each other?

Frequency and period are related inversely. A period $P$ is related to the frequency $f$
$P = \frac{1}{f}$
Something that repeats once per second has a period of 1 s. It also have a frequency of $\frac{1}{s}$. One cycle per second is given a special name Hertz (Hz). You may also say that it has a frequency of 1 Hz.
$y \left(t\right) = \sin \left(2 \pi f t\right)$