asinh

Inverse hyperbolic sine

Syntax

Y = asinh(X)


Description

Y = asinh(X) returns the inverse hyperbolic sine for each element of X.

The asinh function operates element-wise on arrays. The function's domains and ranges include complex values. All angles are in radians.

Examples

Graph of Inverse Hyperbolic Sine Function

Graph the inverse hyperbolic sine over the domain .

x = -5:.01:5; 
plot(x,asinh(x))
grid on
xlabel('x')
ylabel('y')

More About

Inverse Hyperbolic Sine

For real values $$x$$ in the domain of all real numbers, the inverse hyperbolic sine satisfies

$${\sinh }^{-1}\left(x\right)=\log \left(x+\sqrt{x^2+1}\right).$$

For complex numbers $$z=x+iy$$, the call asinh(z) returns complex results.

Extended Capabilities

Tall Arrays

Calculate with arrays that have more rows than fit in memory.

This function fully supports tall arrays. For more information, see Tall Arrays.

C/C++ Code Generation
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