Find the period of the graph shown below.

π/2

Step-by-step explanation:

Find the period of the graph shown below.

Total time to complete one oscillation is called the period.

The total number of oscillations in the graph is 7 oscillations:

Hence;

7 oscillations = 3π + π/2 = 7π/2

To get the period, we want to know thw angle it takes to complete just one oscillation that is;

1 oscillation = x

Divide both equations:

7/1 = (7π/2)/x

7x = 7π/2

14x = 7π

x = 7π/14

x = π/2

Hence the period of the wave is π/2

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