Yes, the frequency of a sine wave is indeed equal to the reciprocal of its period. Let's clarify these terms:
Frequency (f): Frequency refers to the number of cycles or oscillations of a wave that occur per unit of time. It is measured in Hertz (Hz) and represents how many complete cycles the wave completes in one second.
Period (T): The period of a wave is the time it takes for one complete cycle or oscillation to occur. It is measured in seconds (s).
The relationship between frequency and period is as follows:
Frequency = 1 / Period
Mathematically, this relationship can be expressed as:
f = 1 / T
So, if you have the period of a sine wave, you can calculate its frequency by taking the reciprocal of the period. Similarly, if you have the frequency, you can find the period by taking the reciprocal of the frequency.