This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# ArcSec

 ArcSec[z]gives the arc secant of the complex number .
• Mathematical function, suitable for both symbolic and numerical manipulation.
• All results are given in radians.
• For real outside the interval to , the results are always in the range to , excluding .
• For certain special arguments, ArcSec automatically evaluates to exact values.
• ArcSec can be evaluated to arbitrary numerical precision.
• ArcSec automatically threads over lists.
• ArcSec[z] has a branch cut discontinuity in the complex plane running from to .
Series expansion:
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Series expansion:
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 Scope   (6)
Evaluate numerically:
Evaluate for complex arguments:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
Simple exact values are generated automatically:
ArcSec can deal with real-valued intervals:
Infinite arguments give symbolic results:
ArcSec can be applied to power series:
Find series expansions at branch points and branch cuts:
ArcSec threads over explicit lists as well as over sparse arrays:
 Applications   (1)
Branch cut of ArcSec runs along the real axis:
Compose with inverse functions:
Use PowerExpand to disregard multivaluedness of the ArcSec: