sinh

Hyperbolic sine.

Category: Mathematics > Elementary Math

Syntax

Y = sinh(X)

Description

sinh is odd, increasing, and grows like exp(x)/2 for large positive x. It is the sine function for the hyperbola, in the same way that sin is for the circle: cosh(x)^2 - sinh(x)^2 is always 1.

It describes the shape of a hanging cable (together with cosh) and the velocity addition of relativity through rapidities.

Input arguments

X

Numeric array, real or complex.

Output arguments

Y

Array of the same size as X.

Example

Real and complex arguments

sinh([0 1 2])
sinh(1 + 1i)

ans = 1×3

         0    1.1752    3.6269
ans = 0.6350 + 1.2985i

See also

cosh tanh asinh sin exp