/// <summary>Trigonometric Hyperbolic Cosine (Cosinus hyperbolicus) of this <c>Complex</c>.</summary> public Complex Cosh() { if (IsReal) { return(new Complex(Trig.Cosh(real), 0d)); } return(new Complex(Trig.Cosh(real) * Trig.Cos(imag), Trig.Sinh(real) * Trig.Sin(imag))); }
/// <summary>Trigonometric Hyperbolic Cotangent (Cotangens hyperbolicus) of this <c>Complex</c>.</summary> public Complex Coth() { if (IsReal) { return(new Complex(Trig.Coth(real), 0d)); } double sini = Trig.Sin(imag); double sinhr = Trig.Sinh(real); double denom = sini * sini + sinhr * sinhr; return(new Complex(sinhr * Trig.Cosh(real) / denom, sini * Trig.Cos(imag) / denom)); }
/// <summary>Trigonometric Hyperbolic Tangent (Tangens hyperbolicus) of this <c>Complex</c>.</summary> public Complex Tanh() { if (IsReal) { return(new Complex(Trig.Tanh(real), 0d)); } double cosi = Trig.Cos(imag); double sinhr = Trig.Sinh(real); double denom = cosi * cosi + sinhr * sinhr; return(new Complex(Trig.Cosh(real) * sinhr / denom, cosi * Trig.Sin(imag) / denom)); }
/// <summary>Trigonometric Cosecant (Cosekans) of this <c>Complex</c>.</summary> public Complex Csc() { if (IsReal) { return(new Complex(Trig.Csc(real), 0d)); } double sinr = Trig.Sin(real); double sinhi = Trig.Sinh(imag); double denom = sinr * sinr + sinhi * sinhi; return(new Complex(sinr * Trig.Cosh(imag) / denom, -Trig.Cos(real) * sinhi / denom)); }
/// <summary>Trigonometric Secant (Sekans) of this <c>Complex</c>.</summary> public Complex Sec() { if (IsReal) { return(new Complex(Trig.Sec(real), 0d)); } double cosr = Trig.Cos(real); double sinhi = Trig.Sinh(imag); double denom = cosr * cosr + sinhi * sinhi; return(new Complex(cosr * Trig.Cosh(imag) / denom, Trig.Sin(real) * sinhi / denom)); }
public static Complex Cosh(Complex value) { return(Trig.Cosh(value)); }