反三角函数推导

温柔似野鬼°
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2020年07月28日 21:35
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民不畏死奈何以死惧之-外的反义词

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 (反双曲余割)
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)

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