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# numpy.sinh

`numpy.``sinh`(x[, out]) = <ufunc 'sinh'>

  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, optional Output array of same shape as x.
  Returns : | y : ndarray The corresponding hyperbolic sine values.
  Raises : | ValueError: invalid return array shape : if out is provided and out.shape != x.shape (See Examples)

  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

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