Write $\frac{1}{4}\left(e^{12 x}+e^{2 x}-e^{-2 x}-e^{-12 x}\right)$ As $\cosh (a x) \sin (b x)$

Short Answer

Write $\frac{1}{4}\left(e^{12 x}+e^{2 x}-e^{-2 x}-e^{-12 x}\right)$ as $\cosh (a x) \sin (b x)$ for some $a$ and $b$ .