导出的数学函数
以下为非基本数学函数的列表,皆可由基本数学函数导出:函数 由基本函数导出之公式
Secant(正割) Sec(X) = 1 / Cos(X)
Cosecant(余割) Cosec(X) = 1 / Sin(X)
Cotangent(余切) Cotan(X) = 1 / Tan(X)
Inverse Sine
(反正弦)
Arcsin(X) = Atn(X / Sqr(-X * X + 1))
Inverse Cosine
(反余弦)
Arccos(X) = Atn(-X / Sqr(-X * X + 1)) + 2 * Atn(1)
Inverse Secant
(反正割)
Arcsec(X) = Atn(X / Sqr(X * X - 1)) + Sgn((X) - 1) * (2 * Atn(1))
Inverse Cosecant
(反余割)
Arccosec(X) = Atn(X / Sqr(X * X - 1)) + (Sgn(X) - 1) * (2 * Atn(1))
Inverse Cotangent
(反余切)
Arccotan(X) = Atn(X) + 2 * Atn(1)
Hyperbolic Sine
(双曲正弦)
HSin(X) = (Exp(X) - Exp(-X)) / 2
Hyperbolic Cosine
(双曲余弦)
HCos(X) = (Exp(X) + Exp(-X)) / 2
Hyperbolic Tangent
(双曲正切)
HTan(X) = (Exp(X) - Exp(-X)) / (Exp(X) + Exp(-X))
Hyperbolic Secant
(双曲正割)
HSec(X) = 2 / (Exp(X) + Exp(-X))
Hyperbolic Cosecant(双曲余割) HCosec(X) = 2 / (Exp(X) - Exp(-X))
Hyperbolic Cotangent(双曲余切) HCotan(X) = (Exp(X) + Exp(-X)) / (Exp(X) - Exp(-X))
Inverse Hyperbolic Sine(反双曲正弦) HArcsin(X) = Log(X + Sqr(X * X + 1))
Inverse Hyperbolic Cosine(反双曲余弦) HArccos(X) = Log(X + Sqr(X * X - 1))
Inverse Hyperbolic Tangent(反双曲正切) HArctan(X) = Log((1 + X) / (1 - X)) / 2
Inverse Hyperbolic Secant(反双曲正割) HArcsec(X) = Log((Sqr(-X * X + 1) + 1) / X)
Inverse Hyperbolic Cosecant HArccosec(X) = Log((Sgn(X) * Sqr(X * X + 1) + 1) / X)
Inverse Hyperbolic Cotangent
(反双曲余切)
HArccotan(X) = Log((X + 1) / (X - 1)) / 2
以 N 为底的对数 LogN(X) = Log(X) / Log(N)
以下为非基本数学函数的列表,皆可由基本数学函数导出:函数 由基本函数导出之公式
Secant(正割) Sec(X) = 1 / Cos(X)
Cosecant(余割) Cosec(X) = 1 / Sin(X)
Cotangent(余切) Cotan(X) = 1 / Tan(X)
Inverse Sine
(反正弦)
Arcsin(X) = Atn(X / Sqr(-X * X + 1))
Inverse Cosine
(反余弦)
Arccos(X) = Atn(-X / Sqr(-X * X + 1)) + 2 * Atn(1)
Inverse Secant
(反正割)
Arcsec(X) = Atn(X / Sqr(X * X - 1)) + Sgn((X) - 1) * (2 * Atn(1))
Inverse Cosecant
(反余割)
Arccosec(X) = Atn(X / Sqr(X * X - 1)) + (Sgn(X) - 1) * (2 * Atn(1))
Inverse Cotangent
(反余切)
Arccotan(X) = Atn(X) + 2 * Atn(1)
Hyperbolic Sine
(双曲正弦)
HSin(X) = (Exp(X) - Exp(-X)) / 2
Hyperbolic Cosine
(双曲余弦)
HCos(X) = (Exp(X) + Exp(-X)) / 2
Hyperbolic Tangent
(双曲正切)
HTan(X) = (Exp(X) - Exp(-X)) / (Exp(X) + Exp(-X))
Hyperbolic Secant
(双曲正割)
HSec(X) = 2 / (Exp(X) + Exp(-X))
Hyperbolic Cosecant(双曲余割) HCosec(X) = 2 / (Exp(X) - Exp(-X))
Hyperbolic Cotangent(双曲余切) HCotan(X) = (Exp(X) + Exp(-X)) / (Exp(X) - Exp(-X))
Inverse Hyperbolic Sine(反双曲正弦) HArcsin(X) = Log(X + Sqr(X * X + 1))
Inverse Hyperbolic Cosine(反双曲余弦) HArccos(X) = Log(X + Sqr(X * X - 1))
Inverse Hyperbolic Tangent(反双曲正切) HArctan(X) = Log((1 + X) / (1 - X)) / 2
Inverse Hyperbolic Secant(反双曲正割) HArcsec(X) = Log((Sqr(-X * X + 1) + 1) / X)
Inverse Hyperbolic Cosecant HArccosec(X) = Log((Sgn(X) * Sqr(X * X + 1) + 1) / X)
Inverse Hyperbolic Cotangent
(反双曲余切)
HArccotan(X) = Log((X + 1) / (X - 1)) / 2
以 N 为底的对数 LogN(X) = Log(X) / Log(N)
Cos 函数
返回一个 Double,指定一个角的余弦值。语法Cos(number)必要的 number 参数是一 Double 或任何有效的数值表达式,表示一个以弧度为单位的角。说明Cos 函数的参数为一个角,并返回直角三角形两边的比值。该比值为角的邻边长度除以斜边长度之商。结果的取值范围在 -1 到 1 之间。为了将角度转换成弧度,请将角度乘以 pi/180。为了将弧度转换成角度,请将弧度乘以 180/pi。
Cos 函数示例
本示例使用 Cos 函数计算一个角的余弦。Dim MyAngle, MySecant
MyAngle = 1.3 ' 定义角度(以“弧度”为单位)。
MySecant = 1 / Cos(MyAngle) ' 利用余弦计算正割(sec())。
agree zyl910(910:分儿,我来了!) 可以由基本的公式导出!