asinh

Inverse hyperbolic sine

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Syntax

Y = asinh(X)

Description

example

Y = asinh(X) returns the inverse hyperbolic sine of the elements of X. The function accepts both real and complex inputs. All angles are in radians.

Examples

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Open Live Script

Find the inverse hyperbolic sine of the elements of vector X. The asinh function acts on X element-wise.

X = [2 -3 1+2i];
Y = asinh(X)
Y = 1×3 complex

   1.4436 + 0.0000i  -1.8184 + 0.0000i   1.4694 + 1.0634i
Open Live Script

Plot the inverse hyperbolic sine function over the interval -5≤x≤5.

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

Input Arguments

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Hyperbolic sine of angle, specified as a scalar, vector, matrix, or multidimensional array. The asinh operation is element-wise when X is nonscalar.

Data Types: single | double
Complex Number Support: Yes

More About

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Inverse Hyperbolic Sine

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

sinh−1(x)=log(x+x2+1).

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

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

See Also

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Introduced before R2006a

MATLAB Documentation

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