# mars.tensor.sin#

mars.tensor.sin(x, out=None, where=None, **kwargs)[source]#

Trigonometric sine, element-wise.

Parameters
• x (array_like) – Angle, in radians ($$2 \pi$$ rad equals 360 degrees).

• out (Tensor, None, or tuple of Tensor 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 tensor 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

Returns

y – The sine of each element of x.

Return type

array_like

See also

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

Print sine of one angle:

>>> import mars.tensor as mt

>>> mt.sin(mt.pi/2.).execute()
1.0


Print sines of an array of angles given in degrees:

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


Plot the sine function:

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