Answer:
[tex]\boxed{f=\frac{1}{\pi} \ s^{-1}}[/tex]
Step-by-step explanation:
A sinusoidal function is a periodic function because the basic shape repeats indefinitely in both the positive and negative directions. The frequency of a sine wave is defined as the number of cycles it completes in a given interval and is the reciprocal of the period. In a mathematical language this is written as:
[tex]f=\frac{1}{T} \\ \\ \\ f:Frequency \\ \\ T:Period[/tex]
To get the period, just subtract the x-coordinates of two consecutive peaks, so:
[tex]T=\pi-0 \\ \\ T=\pi \ (s)[/tex]
Therefore, the frequency is:
[tex]f=\frac{1}{\pi} \ (s^{-1})[/tex]
