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BUILT-IN MATHEMATICA SYMBOL
ArcTan
ArcTan[z]
gives the arc tangent 
of the complex number 
.
ArcTan[x, y]
gives the arc tangent of 
, taking into account which quadrant the point 
is in.
Details
- Mathematical function, suitable for both symbolic and numerical manipulation.
- All results are given in radians.
- For real
, the results are always in the range 
to 
. - For certain special arguments, ArcTan automatically evaluates to exact values.
- ArcTan can be evaluated to arbitrary numerical precision.
- ArcTan automatically threads over lists.
- ArcTan[z] has branch cut discontinuities in the complex
plane running from 
to 
and 
to 
. - If
or 
is complex, then ArcTan[x, y] gives 
. When 
, ArcTan[x, y] gives the number 
such that 
and 
.
New in 1
