# Math Help - Oscillating spring measurements?

1. ## Oscillating spring measurements?

A mass attached to a spring oscillates upward and downward. The length L of the spring after t seconds is given by the function L=8-2cos(4pit) where L is measured in inches. what is the length of the spring when it is shortest? What is the length of the spring when its longest?

2. Originally Posted by captaintoast87
A mass attached to a spring oscillates upward and downward. The length L of the spring after t seconds is given by the function L=8-2cos(4pit) where L is measured in inches. what is the length of the spring when it is shortest? What is the length of the spring when its longest?
Well the smallest possible value of cos(anything) is -1, and the largest possible value is 1. So 8-2=6 and 8-(-2)=10.
For example $cos(0.25 * 4\pi)=-1$ and $cos(4\pi)=1$