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# acot

computa o arco-cotangente elemento a elemento do argumento

### Seqüência de Chamamento

`y = acot(x)`

### Parâmetros

x

array de reais ou complexos

y

array de reais ou complexos

### Descrição

computa o arco-cotangente elemento a elemento do argumento Para argumento reais, o resultado é real

As seguintes desigualdades se verificam: ```acot(z) = %pi-acot(-z)=%pi/2-atan(z)=%i*acoth(%i*z)+%pi/2*(1-csgn(z+%i))```

### Exemplos

```x=[1 2 -2 sqrt(2) -sqrt(2) 2/sqrt(3) -2/sqrt(3) -1];
acot(x)/%pi```

### Referências

• 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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