A periodic wave has a fixed pattern that is repeated. One completion of the wave pattern is called as cycle of the wave.
Explanation:
Periodic waves are those which repeat the same kind of behaviour or pattern after a particular interval of time. So, completion of behaviour or pattern for a given time interval is termed as the cycle of wave.
Generally, one complete wave pattern makes a time interval of 2π. So each cycle will take nearly 2π time to form. The repetition of cycle in a time interval will help us to derive the frequency of the system.