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Scilab help >> Elementary Functions > Trigonometry > acot

acot

引数の要素毎の逆正接を計算する.

呼び出し手順

y = acot(x)

引数

x

実数または複素数の配列.

y

実数または複素数の配列.

説明

引数について要素毎の逆正接を計算する. 引数が実数の場合,結果も実数となる.

以下の等式は保持される: acot(z) = %pi-acot(-z)=%pi/2-atan(z)=%i*acoth(%i*z)+%pi/2*(1-csgn(z+%i))

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

参照

  • 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 Oct 01 17:40:24 CEST 2012