Question

What is the frequency of the sinusoidal graph?

Answer 1

Answer:

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

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 $f(x)=\sin(3x)$

Now, 'If a function f(x) is of period P, then f(bx) has period $\frac{P}{|b|}$'.

So, we get,

As, $f(x)=\sin(x)$ have period $2\pi$.

Then, $f(x)=\sin(3x)$ have period $\frac{P}{|3|}$ i.e. $\frac{2\pi}{3}$.

Since, 'Frequency is the reciprocal of the period',

We have,

Frequency of the given function is $\frac{3}{2\pi}$.