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numpy.cos

numpy.sin

numpy.sin(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj]) = <ufunc 'sin'>

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

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 : 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