acot
computes the element-wise inverse cotangent of the argument.
Syntax
y = acot(x)
Arguments
- x
a real or complex array.
- y
a real or complex array.
Description
Computes the element-wise inverse cotangent of the argument. For real argument the result is real.
The following equalities hold: acot(z) =
%pi-acot(-z)=%pi/2-atan(z)=%i*acoth(%i*z)+%pi/2*(1-csgn(z+%i))
.
Sample
See also
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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