# sin function

(Shortest import: `from brian2 import sin)`

brian2.units.unitsafefunctions.sin(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature])

  Trigonometric sine, element-wise.

  Parameters:

    x : array_like

    > Angle, in radians (\(2 \pi\) rad equals 360 degrees).

    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

    > This condition is broadcast over the input. At locations where the condition is True, the `out` array will be set to the ufunc result. Elsewhere, the `out` array will retain its original value. Note that if an uninitialized `out` array is created via the default `out=None`, locations within it where the condition is False will remain uninitialized.

    **kwargs :

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

  Returns:

    y : array_like

    > The sine of each element of x. This is a scalar if `x` is a scalar.

  See also

  `arcsin()`, `sinh()`, `cos()`

  Notes

  The sine is one of the fundamental functions of trigonometry (the mathematical study of triangles). Consider a circle of radius 1 centered on the origin. A ray comes in from the \(+x\) axis, makes an angle at the origin (measured counter-clockwise from that axis), and departs from the origin. The \(y\) coordinate of the outgoing ray’s intersection with the unit circle is the sine of that angle. It ranges from -1 for \(x=3\pi / 2\) to +1 for \(\pi / 2.\) The function has zeroes where the angle is a multiple of \(\pi\). Sines of angles between \(\pi\) and \(2\pi\) are negative. The numerous properties of the sine and related functions are included in any standard trigonometry text.

  Examples

      >>> import numpy as np

  Print sine of one angle:

      >>> np.sin(np.pi/2.)
      1.0

  Print sines of an array of angles given in degrees:

      >>> np.sin(np.array((0., 30., 45., 60., 90.)) * np.pi / 180. )
      array([ 0.        ,  0.5       ,  0.70710678,  0.8660254 ,  1.        ])

  Plot the sine function:

      >>> import matplotlib.pylab as plt
      >>> x = np.linspace(-np.pi, np.pi, 201)
      >>> plt.plot(x, np.sin(x))
      >>> plt.xlabel('Angle [rad]')
      >>> plt.ylabel('sin(x)')
      >>> plt.axis('tight')
      >>> plt.show()