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acsc

computes the element-wise inverse cosecant of the argument.

Syntax

y = acsc(x)

Arguments

x

a real or complex array.

y

a real or complex array.

Description

Computes the element-wise inverse cosecant 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 — сomputes 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.
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Last updated:
Mon Jun 17 17:49:15 CEST 2024