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63 lines
1.7 KiB
ReStructuredText
63 lines
1.7 KiB
ReStructuredText
Trigonometric functions
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-----------------------
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Except where otherwise noted, the trigonometric functions take a radian angle
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as input and the inverse trigonometric functions return radian angles.
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The ordinary trigonometric functions are single-valued functions defined
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everywhere in the complex plane (except at the poles of tan, sec, csc, and
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cot). They are defined generally via the exponential function, e.g.
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.. math ::
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\cos(x) = \frac{e^{ix} + e^{-ix}}{2}.
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The inverse trigonometric functions are multivalued, thus requiring branch
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cuts, and are generally real-valued only on a part of the real line.
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Definitions and branch cuts are given in the documentation of each function.
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The branch cut conventions used by mpmath are essentially the same as those
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found in most standard mathematical software, such as Mathematica and Python's
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own ``cmath`` libary.
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Degree-radian conversion
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........................
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.. autofunction:: mpmath.degrees
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.. autofunction:: mpmath.radians
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Trigonometric functions
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.......................
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.. autofunction:: mpmath.cos
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.. autofunction:: mpmath.sin
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.. autofunction:: mpmath.tan
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.. autofunction:: mpmath.sec
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.. autofunction:: mpmath.csc
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.. autofunction:: mpmath.cot
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Trigonometric functions with modified argument
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..............................................
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.. autofunction:: mpmath.cospi
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.. autofunction:: mpmath.sinpi
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Inverse trigonometric functions
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...............................
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.. autofunction:: mpmath.acos
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.. autofunction:: mpmath.asin
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.. autofunction:: mpmath.atan
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.. autofunction:: mpmath.atan2
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.. autofunction:: mpmath.asec
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.. autofunction:: mpmath.acsc
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.. autofunction:: mpmath.acot
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Sinc function
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.............
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.. autofunction:: mpmath.sinc
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.. autofunction:: mpmath.sincpi
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