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Also, similarly to how the derivatives of sin(t) and cos(t) are cos(t) and –sin(t) respectively, the derivatives of sinh(t) and cosh(t) are cosh(t) and sinh(t) respectively. Hyperbolic functions are …

The two basic hyperbolic functions are "sinh" and "cosh": Hyperbolic Sine: sinh(x) = e x − e-x 2 (pronounced "shine") Hyperbolic Cosine: cosh(x) = e x + e-x 2 (pronounced "cosh") They use …

If x = sinh y, then y = sinh-1 a is called the inverse hyperbolic sine of x. Similarly we define the other inverse hyperbolic functions. The inverse hyperbolic functions are multiple-valued and as …

where contains the unit step, real part, imaginary part, and the floor functions.. Sums of two direct functions. The sum of two hyperbolic sine functions can be described by the rule: "the sum of …

May 22, 2025 · The hyperbolic sine is defined as sinhz=1/2(e^z-e^(-z)). (1) The notation shz is sometimes also used (Gradshteyn and Ryzhik 2000, p. xxix). It is implemented in the Wolfram …

This sinh calculator allows you to quickly determine the values of the hyperbolic sine function.

Sinh is the hyperbolic sine function, which is the hyperbolic analogue of the Sin circular function used throughout trigonometry. It is defined for real numbers by letting be twice the area …

The Sinh function is the hyperbolic counterpart of the Sin circle function, which is utilized throughout trigonometry. Real numbers define it by assuming that the area equals twice the …

\[x = \cosh a = \dfrac{e^a + e^{-a}}{2},\quad y = \sinh a = \dfrac{e^a - e^{-a}}{2}.\] A very important fact is that the hyperbolic trigonometric functions take area as their argument (called "the …

Y = sinh(X) returns the hyperbolic sine of the elements of X. The sinh function operates element-wise on arrays. The function accepts both real and complex inputs.