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Python - cmath.cosh() Function

The Python cmath.cosh() function returns the complex hyperbolic cosine of a complex number z. It is a function on complex plane, and has no branch cuts. It is periodic with respect to the imaginary component, with period 2𝜋i.

Mathematically, it can be expressed as:

complex cosh




z Required. Specify a number to find the complex hyperbolic cosine of

Return Value

Returns the complex hyperbolic cosine of z.


In the example below, cosh() function is used to find out the complex hyperbolic cosine of the given number.

import cmath

z1 = 2 + 2j
z2 = 2
z3 = 2j

print("cmath.cosh(z1):", cmath.cosh(z1))
print("cmath.cosh(z2):", cmath.cosh(z2))
print("cmath.cosh(z3):", cmath.cosh(z3))

The output of the above code will be:

cmath.cosh(z1): (-1.5656258353157435+3.297894836311237j)
cmath.cosh(z2): (3.7621956910836314+0j)
cmath.cosh(z3): (-0.4161468365471424+0j)

❮ Python cMath Module