ArcTan

Usage

• 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.

Notes

• Mathematical function (see Section A.3.10).

• All results are given in radians.

• For real z, the results are always in the range

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

and

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

. When

, ArcTan[x, y] gives the number

such that

and

• See Section 1.1.3 and Section 3.2.7.

• See also: Arg.

• New in Version 1.

Further Examples