# xarray.ufuncs.sinh

`xarray.ufuncs.``sinh` = <xarray.ufuncs._UFuncDispatcher object>

  xarray specific variant of numpy.sinh. Handles xarray.Dataset, xarray.DataArray, xarray.Variable, numpy.ndarray and dask.array.Array objects with automatic dispatching.

  Documentation from numpy:

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

  Hyperbolic sine, element-wise.

  Equivalent to `1/2 * (np.exp(x) - np.exp(-x))` or `-1j * np.sin(1j*x)`.

  Parameters:

  x : array_like

  > Input array.

  out : ndarray, None, or tuple of ndarray and None, optional

  > A location into which the result is stored. If provided, it must have a shape that the inputs broadcast to. If not provided or None, a freshly-allocated array is returned. A tuple (possible only as a keyword argument) must have length equal to the number of outputs.

  where : array_like, optional

  > Values of True indicate to calculate the ufunc at that position, values of False indicate to leave the value in the output alone.

  **kwargs

  > For other keyword-only arguments, see the ufunc docs.

  Returns:

  y : ndarray

  > The corresponding hyperbolic sine values.

  Notes

  If out is provided, the function writes the result into it, and returns a reference to out. (See Examples)

  References

  M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions. New York, NY: Dover, 1972, pg. 83.

  Examples

      >>> np.sinh(0)
      0.0
      >>> np.sinh(np.pi*1j/2)
      1j
      >>> np.sinh(np.pi*1j) # (exact value is 0)
      1.2246063538223773e-016j
      >>> # Discrepancy due to vagaries of floating point arithmetic.

      >>> # Example of providing the optional output parameter
      >>> out2 = np.sinh([0.1], out1)
      >>> out2 is out1
      True

      >>> # Example of ValueError due to provision of shape mis-matched `out`
      >>> np.sinh(np.zeros((3,3)),np.zeros((2,2)))
      Traceback (most recent call last):
        File "<stdin>", line 1, in <module>
      ValueError: invalid return array shape