Question

What is the frequency of the sinusoidal graph?

Answer 1

Answer:

$\frac{3}{2\pi }$.

Step-by-step explanation:

We can see that the given graph is represented by the function $f(x) = \sin 3x.$.

Now, we know that period of the $f(x) = \sin 3x.$ is $2\pi$.

Also, in a sinusoidal model of the form $y=a\sin (b(x-c))+d$, the period is given by $\frac{2\pi }{|b|}$.

Since, the given graph models the function $f(x) = \sin 3x.$.

Its period is given by $\frac{2\pi }{3}$.

Further, the frequency of a sinusoidal model is given by the reciprocal of its period.

Thus, the frequency of this model is $\frac{3}{2\pi }$.