The function is .

If is function and  , then is said to be periodic function.

Here P is the period of the function.

is a composite of cubic function and cosine function.

Horizontal stretch of     is 3.

The relation between stretch and the period P of cosine function is , B is stretch.

So, the period of is .

The stretch of is 4.

The relation between stretch and the period P of tangent function is , B is stretch.

So, the period of is .

The LCM of gives the period of .

LCM of is .

So, the period of is .

The graph of one period of the function is