acot
computes the element-wise inverse cotangeant of the argument.
Arguments
:x Real or complex array.
: :y Real or complex array.
:
Description
Computes the element-wise inverse cotangeant 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
Examples
x=[1 2 -2 `sqrt`_(2) -`sqrt`_(2) 2/`sqrt`_(3) -2/`sqrt`_(3) -1];
acot(x)/%pi
See Also
- cotg cotangent
- acotd computes the element-wise inverse cotangeant of the
argument, result in degree.
- csgn Returns the sign of a vector of real of complex values.
- acoth element wise hyperbolic cotangeant inverse.
- atan 2-quadrant and 4-quadrant inverse tangent
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.