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 [tex]\frac{\pi}{2}[/tex].
If the complete its one cycle in [tex]\frac{\pi}{2}[/tex], then the number of cycles completed by the graph in the inteval 0 to 2π is
[tex]\frac{\pi}{2}\times frequency=2\pi[/tex]
[tex]frequency=2\pi \times \frac{2}{\pi}[/tex]
[tex]frequency=4[/tex]
Therefore the frequency of the given sinusoidal graph is 4.
