Given: The function below
[tex]y=5sin(2x)[/tex]
To Determine: The period of the given function
Solution
The distance between the repetition of any function is called the period of the function
The graph of the function is as shown below
[tex]Period=\frac{5\pi}{4}-\frac{\pi}{4}=\frac{5\pi-\pi}{4}=\frac{4\pi}{4}=\pi[/tex]
Hence, the period of the function is π
