asec
computes the element-wise inverse secant of the argument.
Arguments
:x Real or complex array.
: :y Real or complex array.
:
Description
Computes the element-wise inverse secant of the argument. For real
argument with absolute value greater than 1 the result is real.
The following equalities hold: asec(z) = -acsc(-z) = asin(1/z) =
%pi/2-asec(x) = %i*acsch(%i*z)
Sample
Examples
x=[1 2 -2 `sqrt`_(2) -`sqrt`_(2) 2/`sqrt`_(3) -2/`sqrt`_(3) -1];
asec(x)/%pi
See Also
- sec Compute the element-wise secant of the argument.
- asecd computes the element-wise inverse secant of the argument,
results in degree.
References
- Kahan, W., “Branch cuts for complex elementary functions, or, Much
ado about nothing’s sign bit”, Proceedings of the joing IMA/SIAM
conference on The State of the Art in Numerical Analysis, University
of Birmingham, A. Iserles and M.J.D. Powell, eds, Clarendon Press,
Oxford, 1987, 165-210.