Question

What is the frequency of the graph of y = 1/3 sin(2x)?

Answer 1

Given:

The sine function is:

$y=\dfrac{1}{3}\sin (2x)$

To find:

The frequency of the graph of given function.

Solution:

If a sine function is defined as:

$y=A\sin(Bx+C)+D$

Then, the frequency of the sine function is:

$f=\dfrac{B}{2\pi}$

We have,

$y=\dfrac{1}{3}\sin (2x)$

Here, $B=2$. So, the frequency of the given function is:

$f=\dfrac{2}{2\pi}$

$f=\dfrac{1}{\pi}$

Therefore, the correct option is D.