Power Reduction Formulas/Hyperbolic Sine Squared

Theorem

 * $\sinh^2 x = \dfrac {\cosh 2 x - 1} 2$

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

Also see

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