Question

What is the frequency of the sinusoidal graph?

Answer 1

`(3)/(2\pi)`.

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
`(P)/(|b|)`'.

So, we get,

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

Then,
`f(x)=\sin(3x)` have period
`(P)/(|3|)` i.e.
`(2\pi)/(3)`.

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

We have,

Frequency of the given function is
`(3)/(2\pi)`.