Respuesta :

To find the period

  ⇒ let's define what the period is

Definition of Period:  the interval of time between successive occurrences of the same state in an oscillatory or cyclic phenomenon

Based on the definition:

     ⇒it states that we must look for how long it takes the function to

         complete one cycle of repetition

In this graph: it takes [tex]\pi /2[/tex] to complete one period or one cycle of repitition

Answer: [tex]\frac{\pi }{2}[/tex]

Hope that helps!

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