Answer:

Step-by-step explanation:
Given Data:
Cycles = c = 3 cycles
Time = t = 2 seconds
Required:
Time period = T = ?
Formula:
1) f = c/t
2) T = 1/f
Solution:
Finding frequency first:
f = c / t
f = 3/2
f = 1.5 Hz
Now, finding period:
T = 1/f
T = 1 / 1.5
T = 0.67 seconds
![\rule[225]{225}{2}](https://img.qammunity.org/2023/formulas/english/college/eq413d752mwtrwwenrzwldxt4w1olmf1b3.png)