6th October 2019

12

# What is Cosh and Sinh?

The functions cosh x, sinh x and tanh x have much the same relationship to the rectangular hyperbola y2 = x2 - 1 as the circular functions do to the circle y2 = 1 - x2. 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.