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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.

• All results are given in radians.
• For real z, the results are always in the range  to  .
ArcTan[z] can be input as  .
• If x or y is complex, then ArcTan[x, y] gives  . When  , ArcTan[x, y] gives the number Phi such that  and  .
• See also:
ArcCos, ArcSin, Arg.


Using InstantCalculators

Here is the InstantCalculator for the ArcTan function. Enter the parameters for your calculation and click Calculate to see the result.

Entering Commands Directly

You can paste a template for this command via the Text Input button on the ArcTan Function Controller.

Here is a plot of ArcTan[x] for x from -10 to 10.

This is the derivative.

This is the indefinite integral.

Ordinary Mathematical Notation

This also gives the derivative.

This also gives the indefinite integral.

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