Question

What is the frequency of the sinusoidal graph ?

Answer 1

Answer:

The frequency of the given sinusoidal graph is 4.

Step-by-step explanation:

The frequency of a sinusoidal graph is the number of cycles it completes in the interval 0 to 2π radians.

From the given sinusoidal graph it is noticed that the the graph complete its one cycle in the interval 0 to $\frac{\pi}{2}$.

If the complete its one cycle in $\frac{\pi}{2}$, then the number of cycles completed by the graph in the inteval 0 to 2π is

$\frac{\pi}{2}\times frequency=2\pi$

$frequency=2\pi \times \frac{2}{\pi}$

$frequency=4$

Therefore the frequency of the given sinusoidal graph is 4.