6.23.20 Rewriting trigonometric functions in terms of tan(x/2) and hyperbolic functions in terms of exp(x): halftan_hyp2exp
The halftan_hyp2exp command rewrites the trigonometric
function in terms of tan(x/2) (like halftan, see
Section 6.23.19) and rewrites the hyperbolic functions in terms
of their definitions using exponentials, namely:
-
halftan_hyp2exp takes one argument:
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.