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Built-in Functions

Mathematical Functions

Elementary Functions

ArcTan

ArcTan[ z ] gives the arc tangent

of the complex number z.

ArcTan[ x , y ] gives the arc tangent of

, taking into account which quadrant the point

is in.

Mathematical function (see Section A.3.10).

All results are given in radians.

For real z, the results are always in the range

to

.

ArcTan[ z ] has branch cut discontinuities in the complex z plane running from

to

and

to

.

If x or y is complex, then ArcTan[ x , y ] gives

. When

, ArcTan[ x , y ] gives the number

such that

and

.

See the Mathematica book: Section 1.1.3, Section 3.2.6.

See also: Arg.

Further Examples

This is the derivative.

In[1]:=

Out[1]=

This is an indefinite integral.

In[2]:=

Out[2]=

This is a power series expansion about

.

In[3]:=

Out[3]=

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