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Scilab help >> Elementary Functions > Trigonometry > acsc

acsc

引数の逆余割を要素毎に計算する.

呼び出し手順

y = acsc(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

引数の逆余割を要素毎に計算します. 絶対値が1より大きい実数引数の場合,結果は実数となります.

以下の等式が成り立ちます: acsc(z) = -acsc(-z) = asin(1/z) = %pi/2-asec(z) = %i*acsch(%i*z)

x=linspace(1,20,200);
x=[-x($:-1:1) %nan x];
plot(x,acsc(x))

参照

  • csc — 引数のコセカント(余割)を要素毎に計算する.
  • acscd — 引数の逆余割を要素毎に計算し,結果を度単位で返す.
  • acsch — 引数の逆双曲線余割を要素毎に計算する.

リファレンス

  • 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