and
.
It is defined on the entire real line. The tangent is a very wild function,
but arctan is very well behaved. It rises from 
in
a smooth way.
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This function, sometimes called arctangent or arctan, is denoted by tan-1 or arctan x.
Since the tangent is periodic with period p, its range must be restricted to make it well defined.
It is standard to define arctan to lie between and
.
It is defined on the entire real line. The tangent is a very wild function,
but arctan is very well behaved. It rises from in
a smooth way.
