96.2.3 Convert to Hyperbolic Functions

Function: c2hyp (x) ¶

The function c2hyp (convert to hyperbolic) convert expression with exp function to expression with hyperbolic functions sinh, cosh.

Examples:

(%i6) c2hyp(exp(x));
(%o6)                         sinh(x) + cosh(x)
(%i7) c2hyp(exp(x)+exp(x^2)+1);
                       2          2
(%o7)            sinh(x ) + cosh(x ) + sinh(x) + cosh(x) + 1
(%i8) c2hyp(exp(x)/(2*exp(y)-3*exp(z)));
                              sinh(x) + cosh(x)
(%o8)           ---------------------------------------------
                2 (sinh(y) + cosh(y)) - 3 (sinh(z) + cosh(z))