The period of a function is 4pi.
how many cycles of the function occur in a horizontal length of 12pi?

3 cycles of the function occur in a horizontal length of 12π with period of function 4π

Step-by-step explanation:

Given the period of function 4π.

we have to find the number of cycles of function occur in a horizontal length of 12π.

As, the total horizontal length of function is equals to number of cycles into the period of function.

L=(no. of cycles)P

where L is length of horizontal line and P is the period of function.

Hence,

∴ 3 cycles of the function occur in a horizontal length of 12π with period of function 4π