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Omni's sinh calculator is here to help you deal with the hyperbolic sine function, which you may encounter in various areas of math and engineering. Scroll down to learn more about this important function (and a bit about other hyperbolic functions as well).

Inverse hyperbolic functions. 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 in the case of inverse trigonometric functions we restrict ourselves to principal values for which they can be considered as single-valued.

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可见，双曲正弦函数的二阶导数仍然是双曲正弦函数（它本身），而根据双曲正弦函数的 单调性 ，且sinh0=0。可知当x>0时，sinhx的二阶导数大于0。x<0时，sinhx的二阶导数小于0，则可得出上述结论。

What is the general solution for sinh (x)=0 ?

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.

2015年9月7日 · In the complex numbers, there are an infinite no. of solutions to sinh z = 0 sinh z = 0, viz. z = kπi, k ∈Z z = k π i, k ∈ Z.

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.

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