How is $t\cos 2t = \sinh^2 3t?$

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I am trying to solve a Laplace transform problem for the function $f(t)=t\cos 2t$ and on the solution to this problem the author writes the function as $\sinh^2 3t$.

Why can the function be written in that way?

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Nope... that's not even close, as you can see here:

enter image description here