Answer
$W = 200.49~sin^2~120\pi t$
$W = -100.245~cos~240\pi t+100.245$
When we graph both functions on the same coordinate axes, we can see that they are equal.
Work Step by Step
$W = 200.49~sin^2~120\pi t$
$W = -100.245~cos~240\pi t+100.245$
We can see a sketch of the graph in the window $[0,0.05]$ by $[-50,300]$
When we graph both functions on the same coordinate axes, we can see that they are equal.