What is the frequency of the sinusoidal graph?

Alright, lets get started.
For finding frequency, we need to first find the period of the graph.
The period of a sinusoidal graph is the time interval in which it repates its pattern.
In the graph, we can see, after [tex] \frac{\pi}{2} [/tex] time, it repeats its pattern.
Hence the period of the graph is [tex] \frac{\pi}{2} [/tex].
Now we need to find its frequency.
The formula for frequency is :
[tex] frequency = \frac{1}{period} [/tex]
[tex] frequency = \frac{1}{\frac{\pi}{2}} [/tex]
[tex] frequency = \frac{2}{\pi} [/tex]
This is the answer:
Hope it will help :)