Respuesta :

Answer:

the period of this graph is 2[tex]\pi[/tex]

Step-by-step explanation:

The period is the length of the section that repeats.  So for this graph, we need to calculate the distance between 2 peaks or 2 troughs of the curve.

Let's look at the peaks (maximums).

One is at x = 0 and the next is at x = 2[tex]\pi[/tex]

2[tex]\pi[/tex] - 0 = 2[tex]\pi[/tex]

Therefore, the period of this graph is 2[tex]\pi[/tex]