The functions

**cosh**x,**sinh**x and tanh x have much the same relationship to the rectangular hyperbola y^{2}= x^{2}- 1 as the circular functions do to the circle y^{2}= 1 - x^{2}. They are therefore sometimes called the hyperbolic functions (h for hyperbolic).In this way, what is Sinh on a calculator?

Calculates the

**hyperbolic**sine of a value. The**hyperbolic**trig functions sinh(, cosh(, and**tanh**( are an analog of normal trig functions, but for a hyperbola, rather than a circle. They can be expressed in terms of real powers of e, and don't depend on the Degree or Radian mode setting.What is a hyperbolic function?

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 equilateral hyperbola. The

**hyperbolic**sine and the**hyperbolic**cosine are entire**functions**. It results that the other**hyperbolic functions**are meromorphic in the whole complex plane.Is Sinh a periodic function?

As a reminder, the functions Cos(x), Sin(x), and Tan(x) are

**periodic**, but the functions Cosh(x),**Sinh**(x), and Tanh(x) are not. The text box below gives a comparison of some standard trigonometric identities and hyperbolic trig identities. Go online and check out the other hyperbolic trig identities. You will be amazed.