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.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/c45ea15c-c842-46b9-80af-43a11fb6df19/result_image/1555298231.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T020137Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=53ae9fcb29d2283ae3a5ad2db1e8367f070996924036bfcb665f9fde8d0af204)
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.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/c45ea15c-c842-46b9-80af-43a11fb6df19/steps_image/small_1555298231.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T020137Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=1c7c23eca8c53b53d734d1deac39993918b70140d38201b3bf3728210bcec13e)