acsc

computes the element-wise inverse cosecant of the argument.

Calling Sequence

y = acsc(x)

Arguments

:x Real or complex array. : :y Real or complex array. :

Description

Computes the element-wise inverse cotsecant of the argument. For real argument with absolute value greater than 1 the result is real.

The following equalities hold: acsc(z) = -acsc(-z) = asin(1/z) = %pi/2-asec(z) = %i*acsch(%i*z)

Sample

Examples

x=`linspace`_(1,20,200);
x=[-x($:-1:1) %nan x];
`plot`_(x,acsc(x))

See Also

• csc Computes the element-wise cosecant of the argument.
• acscd computes the element-wise inverse cosecant of the argument, results in degree.
• acsch computes the element-wise inverse hyperbolic cosecant of the argument.

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.