Power Reduction Formulas/Hyperbolic Sine to 4th

Theorem

 * $\sinh^4 x = \dfrac {3 - 4 \cosh 2 x + \cosh 4 x} 8$

where $\sinh$ and $\cosh$ denote hyperbolic sine and hyperbolic cosine respectively.

Also see

 * Square of Hyperbolic Sine
 * Square of Hyperbolic Cosine
 * Cube of Hyperbolic Sine
 * Cube of Hyperbolic Cosine
 * Fourth Power of Hyperbolic Cosine