jax.numpy.cosh

jax.numpy.cosh(x)

Hyperbolic cosine, element-wise.

LAX-backend implementation of cosh(). Original docstring below.

cosh(x, /, out=None, *, where=True, casting=’same_kind’, order=’K’, dtype=None, subok=True[, signature, extobj])

Equivalent to 1/2 * (np.exp(x) + np.exp(-x)) and np.cos(1j*x).

Parameters

x (array_like) – Input array.

Returns

out – Output array of same shape as x. This is a scalar if x is a scalar.

Return type

ndarray or scalar

Examples

>>> np.cosh(0)
1.0

The hyperbolic cosine describes the shape of a hanging cable:

>>> import matplotlib.pyplot as plt
>>> x = np.linspace(-4, 4, 1000)
>>> plt.plot(x, np.cosh(x))
>>> plt.show()