In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the unit hyperbola.

\displaystyle =\frac {\text {sinh} (x)} {1 + \text {cosh} (x)} = \frac {\text {cosh} (x) - 1} {\text {sinh} (x)} = 1+cosh(x)sinh(x) = sinh(x)cosh(x) −1 Multiple angle formulas

Hyperbolic cosecant "csch" or "cosech": csch (x) = 1 sinh (x) = 2 ex − e-x Why the Word "Hyperbolic" ? Because it comes from measurements made on a Hyperbola: So, just like the trigonometric functions relate to a circle, the hyperbolic functions relate to a hyperbola. Identities sinh (−x) = −sinh (x) cosh (−x) = cosh (x) And

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Nov 25, 2024 · Learn the different hyperbolic trigonometric functions, including sine, cosine, and tangent, with their formulas, examples, and diagrams. Also, learn their identities.

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Hyperbolic functions formulas - Sinh x, Cosh x, Tanh x & more. Properties of hyperbolic functions, Sample Problems on Hyperbolic functions, examples & more.

SINH (x) returns the hyperbolic sine of the angle x. The argument x must be expressed in radians. To convert degrees to radians you use the RADIANS function. The argument x can be a real number, a complex number, or a matrix.

Given that $\tan (y) =\sinh (x)$ show that $\sin (y) = \pm \tanh (x) $. I know: $\tan\theta=\dfrac {\sin\theta} {\cos\theta}$ $\tanh\theta=\dfrac {\sinh\theta} {\cosh\theta}$ Also, $\tanh\theta = \dfr...

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