Answer:
[tex]\frac{3}{2\pi}[/tex].
Step-by-step explanation:
We are given the graph of a sinusoidal function.
From the graph we see that,
The given graph is represented by the function [tex]f(x)=\sin(3x)[/tex]
Now, 'If a function f(x) is of period P, then f(bx) has period [tex]\frac{P}{|b|}[/tex]'.
So, we get,
As, [tex]f(x)=\sin(x)[/tex] have period [tex]2\pi[/tex].
Then, [tex]f(x)=\sin(3x)[/tex] have period [tex]\frac{P}{|3|}[/tex] i.e. [tex]\frac{2\pi}{3}[/tex].
Since, 'Frequency is the reciprocal of the period',
We have,
Frequency of the given function is [tex]\frac{3}{2\pi}[/tex].
