Question

What is the frequency of the sinusoidal graph?

Answer 1

Answer:

$\boxed{f=\dfrac{3}{2\pi}}.$

Step-by-step explanation:

Notice that the wave completes 3 oscillations at $x=2\pi$. This means that the period is:

$T = \dfrac{2\pi}{3}.$

Since the frequency is the reciprocal of the period, we get:

$f= \dfrac{1}{T} = \dfrac{1}{2\pi/3} = \dfrac{3}{2\pi}.$

So the frequency is:

$\boxed{f=\dfrac{3}{2\pi}}.$