 
 
 
10.2.20  Rewriting trigonometric/hyperbolic functions in terms of half tangent/exponentials
The halftan_hyp2exp
command rewrites the trigonometric
function in terms of tan(x/2) (like halftan, see
Section 10.2.19) and rewrites the hyperbolic functions in terms
of their definitions using exponentials, namely:
| sinh(x) = |  | ,  
cosh(x) = |  | ,  
tanh(x) = |  | = |  | . | 
- 
halftan_hyp2exp takes
expr, a trigonometric and hyperbolic expression.
- halftan_hyp2exp(expr) returns
expr with any trigonometric functions replaced by the
appropriate expression in tan(x/2) and any hyperbolic
functions replaced by the appropriate exponentials.
Examples
| halftan_hyp2exp(tan(x)+tanh(x)) | 
| normal(halftan_hyp2exp(sin(x)^2+cos(x)^2-sinh(x)^2+cosh(x)^2)) | 
 
 
