Respuesta :
Answer:
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,
[tex]\text{No. of cycles=}\frac{L}{P}=\frac{12\pi}{4\pi}=3[/tex]
∴ 3 cycles of the function occur in a horizontal length of 12π with period of function 4π
